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Finding the Third Proportional to 337,719 and 731,479

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Solution

The third proportional to 337,719 and 731,479 is: 1,584,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,719 : 731,479 = 731,479 : x
  2. Step 2: Convert to fraction form
    337,719/731,479 = 731,479/x
  3. Step 3: Cross multiply
    337,719x = 731,479 × 731,479
  4. Step 4: Simplify right side
    337,719x = 535,061,527,441
  5. Step 5: Solve for x
    x = 535,061,527,441/337,719
  6. Step 6: Final answer
    x = 1,584,339.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.