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Finding the Third Proportional to 366,856 and 482,414

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Solution

The third proportional to 366,856 and 482,414 is: 634,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,856 : 482,414 = 482,414 : x
  2. Step 2: Convert to fraction form
    366,856/482,414 = 482,414/x
  3. Step 3: Cross multiply
    366,856x = 482,414 × 482,414
  4. Step 4: Simplify right side
    366,856x = 232,723,267,396
  5. Step 5: Solve for x
    x = 232,723,267,396/366,856
  6. Step 6: Final answer
    x = 634,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.