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Finding the Third Proportional to 337,911 and 731,588

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Solution

The third proportional to 337,911 and 731,588 is: 1,583,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,911 : 731,588 = 731,588 : x
  2. Step 2: Convert to fraction form
    337,911/731,588 = 731,588/x
  3. Step 3: Cross multiply
    337,911x = 731,588 × 731,588
  4. Step 4: Simplify right side
    337,911x = 535,221,001,744
  5. Step 5: Solve for x
    x = 535,221,001,744/337,911
  6. Step 6: Final answer
    x = 1,583,911.15

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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.