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Finding the Third Proportional to 337,376 and 724,772

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Solution

The third proportional to 337,376 and 724,772 is: 1,557,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,376 : 724,772 = 724,772 : x
  2. Step 2: Convert to fraction form
    337,376/724,772 = 724,772/x
  3. Step 3: Cross multiply
    337,376x = 724,772 × 724,772
  4. Step 4: Simplify right side
    337,376x = 525,294,451,984
  5. Step 5: Solve for x
    x = 525,294,451,984/337,376
  6. Step 6: Final answer
    x = 1,557,000.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.