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Finding the Third Proportional to 337,598 and 739,612

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Solution

The third proportional to 337,598 and 739,612 is: 1,620,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,598 : 739,612 = 739,612 : x
  2. Step 2: Convert to fraction form
    337,598/739,612 = 739,612/x
  3. Step 3: Cross multiply
    337,598x = 739,612 × 739,612
  4. Step 4: Simplify right side
    337,598x = 547,025,910,544
  5. Step 5: Solve for x
    x = 547,025,910,544/337,598
  6. Step 6: Final answer
    x = 1,620,347.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.