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Finding the Third Proportional to 337,898 and 731,564

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Solution

The third proportional to 337,898 and 731,564 is: 1,583,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,898 : 731,564 = 731,564 : x
  2. Step 2: Convert to fraction form
    337,898/731,564 = 731,564/x
  3. Step 3: Cross multiply
    337,898x = 731,564 × 731,564
  4. Step 4: Simplify right side
    337,898x = 535,185,886,096
  5. Step 5: Solve for x
    x = 535,185,886,096/337,898
  6. Step 6: Final answer
    x = 1,583,868.17

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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.