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Finding the Third Proportional to 221,023 and 482,531

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Solution

The third proportional to 221,023 and 482,531 is: 1,053,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,023 : 482,531 = 482,531 : x
  2. Step 2: Convert to fraction form
    221,023/482,531 = 482,531/x
  3. Step 3: Cross multiply
    221,023x = 482,531 × 482,531
  4. Step 4: Simplify right side
    221,023x = 232,836,165,961
  5. Step 5: Solve for x
    x = 232,836,165,961/221,023
  6. Step 6: Final answer
    x = 1,053,447.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.