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Finding the Third Proportional to 337,936 and 472,458

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Solution

The third proportional to 337,936 and 472,458 is: 660,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,936 : 472,458 = 472,458 : x
  2. Step 2: Convert to fraction form
    337,936/472,458 = 472,458/x
  3. Step 3: Cross multiply
    337,936x = 472,458 × 472,458
  4. Step 4: Simplify right side
    337,936x = 223,216,561,764
  5. Step 5: Solve for x
    x = 223,216,561,764/337,936
  6. Step 6: Final answer
    x = 660,529.10

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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.