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Finding the Third Proportional to 337,912 and 731,590

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Solution

The third proportional to 337,912 and 731,590 is: 1,583,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,912 : 731,590 = 731,590 : x
  2. Step 2: Convert to fraction form
    337,912/731,590 = 731,590/x
  3. Step 3: Cross multiply
    337,912x = 731,590 × 731,590
  4. Step 4: Simplify right side
    337,912x = 535,223,928,100
  5. Step 5: Solve for x
    x = 535,223,928,100/337,912
  6. Step 6: Final answer
    x = 1,583,915.13

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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.