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Finding the Third Proportional to 337,908 and 472,415

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Solution

The third proportional to 337,908 and 472,415 is: 660,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,908 : 472,415 = 472,415 : x
  2. Step 2: Convert to fraction form
    337,908/472,415 = 472,415/x
  3. Step 3: Cross multiply
    337,908x = 472,415 × 472,415
  4. Step 4: Simplify right side
    337,908x = 223,175,932,225
  5. Step 5: Solve for x
    x = 223,175,932,225/337,908
  6. Step 6: Final answer
    x = 660,463.59

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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.