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Finding the Third Proportional to 337,073 and 720,802

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Solution

The third proportional to 337,073 and 720,802 is: 1,541,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,073 : 720,802 = 720,802 : x
  2. Step 2: Convert to fraction form
    337,073/720,802 = 720,802/x
  3. Step 3: Cross multiply
    337,073x = 720,802 × 720,802
  4. Step 4: Simplify right side
    337,073x = 519,555,523,204
  5. Step 5: Solve for x
    x = 519,555,523,204/337,073
  6. Step 6: Final answer
    x = 1,541,373.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.