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Finding the Third Proportional to 337,635 and 720,468

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Solution

The third proportional to 337,635 and 720,468 is: 1,537,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,635 : 720,468 = 720,468 : x
  2. Step 2: Convert to fraction form
    337,635/720,468 = 720,468/x
  3. Step 3: Cross multiply
    337,635x = 720,468 × 720,468
  4. Step 4: Simplify right side
    337,635x = 519,074,139,024
  5. Step 5: Solve for x
    x = 519,074,139,024/337,635
  6. Step 6: Final answer
    x = 1,537,382.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.