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Finding the Third Proportional to 502,800.75 and 744,420.38

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Solution

The third proportional to 502,800.75 and 744,420.38 is: 1,102,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,800.75 : 744,420.38 = 744,420.38 : x
  2. Step 2: Convert to fraction form
    502,800.75/744,420.38 = 744,420.38/x
  3. Step 3: Cross multiply
    502,800.75x = 744,420.38 × 744,420.38
  4. Step 4: Simplify right side
    502,800.75x = 554,161,694,715.14
  5. Step 5: Solve for x
    x = 554,161,694,715.14/502,800.75
  6. Step 6: Final answer
    x = 1,102,149.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.