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Finding the Third Proportional to 721,504,882.50 and 1,115,390,439.75

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Solution

The third proportional to 721,504,882.50 and 1,115,390,439.75 is: 1,724,306,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,504,882.50 : 1,115,390,439.75 = 1,115,390,439.75 : x
  2. Step 2: Convert to fraction form
    721,504,882.50/1,115,390,439.75 = 1,115,390,439.75/x
  3. Step 3: Cross multiply
    721,504,882.50x = 1,115,390,439.75 × 1,115,390,439.75
  4. Step 4: Simplify right side
    721,504,882.50x = 1,244,095,833,085,698,304
  5. Step 5: Solve for x
    x = 1,244,095,833,085,698,304/721,504,882.50
  6. Step 6: Final answer
    x = 1,724,306,880.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.