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Finding the Third Proportional to 480,817.50 and 748,442.25

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Solution

The third proportional to 480,817.50 and 748,442.25 is: 1,165,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,817.50 : 748,442.25 = 748,442.25 : x
  2. Step 2: Convert to fraction form
    480,817.50/748,442.25 = 748,442.25/x
  3. Step 3: Cross multiply
    480,817.50x = 748,442.25 × 748,442.25
  4. Step 4: Simplify right side
    480,817.50x = 560,165,801,585.06
  5. Step 5: Solve for x
    x = 560,165,801,585.06/480,817.50
  6. Step 6: Final answer
    x = 1,165,027.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.