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Finding the Third Proportional to 220,808 and 481,792

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Solution

The third proportional to 220,808 and 481,792 is: 1,051,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,808 : 481,792 = 481,792 : x
  2. Step 2: Convert to fraction form
    220,808/481,792 = 481,792/x
  3. Step 3: Cross multiply
    220,808x = 481,792 × 481,792
  4. Step 4: Simplify right side
    220,808x = 232,123,531,264
  5. Step 5: Solve for x
    x = 232,123,531,264/220,808
  6. Step 6: Final answer
    x = 1,051,246.02

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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.