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Finding the Third Proportional to 337,847 and 734,498

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Solution

The third proportional to 337,847 and 734,498 is: 1,596,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,847 : 734,498 = 734,498 : x
  2. Step 2: Convert to fraction form
    337,847/734,498 = 734,498/x
  3. Step 3: Cross multiply
    337,847x = 734,498 × 734,498
  4. Step 4: Simplify right side
    337,847x = 539,487,312,004
  5. Step 5: Solve for x
    x = 539,487,312,004/337,847
  6. Step 6: Final answer
    x = 1,596,839.14

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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.