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Finding the Third Proportional to 711,336 and 1,264,780.50

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Solution

The third proportional to 711,336 and 1,264,780.50 is: 2,248,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,336 : 1,264,780.50 = 1,264,780.50 : x
  2. Step 2: Convert to fraction form
    711,336/1,264,780.50 = 1,264,780.50/x
  3. Step 3: Cross multiply
    711,336x = 1,264,780.50 × 1,264,780.50
  4. Step 4: Simplify right side
    711,336x = 1,599,669,713,180.25
  5. Step 5: Solve for x
    x = 1,599,669,713,180.25/711,336
  6. Step 6: Final answer
    x = 2,248,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.