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Finding the Third Proportional to 337,907 and 472,414

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Solution

The third proportional to 337,907 and 472,414 is: 660,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,907 : 472,414 = 472,414 : x
  2. Step 2: Convert to fraction form
    337,907/472,414 = 472,414/x
  3. Step 3: Cross multiply
    337,907x = 472,414 × 472,414
  4. Step 4: Simplify right side
    337,907x = 223,174,987,396
  5. Step 5: Solve for x
    x = 223,174,987,396/337,907
  6. Step 6: Final answer
    x = 660,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.