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Finding the Third Proportional to 221,021 and 482,527

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Solution

The third proportional to 221,021 and 482,527 is: 1,053,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,021 : 482,527 = 482,527 : x
  2. Step 2: Convert to fraction form
    221,021/482,527 = 482,527/x
  3. Step 3: Cross multiply
    221,021x = 482,527 × 482,527
  4. Step 4: Simplify right side
    221,021x = 232,832,305,729
  5. Step 5: Solve for x
    x = 232,832,305,729/221,021
  6. Step 6: Final answer
    x = 1,053,439.74

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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.