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Finding the Third Proportional to 223,761 and 486,479

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Solution

The third proportional to 223,761 and 486,479 is: 1,057,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,761 : 486,479 = 486,479 : x
  2. Step 2: Convert to fraction form
    223,761/486,479 = 486,479/x
  3. Step 3: Cross multiply
    223,761x = 486,479 × 486,479
  4. Step 4: Simplify right side
    223,761x = 236,661,817,441
  5. Step 5: Solve for x
    x = 236,661,817,441/223,761
  6. Step 6: Final answer
    x = 1,057,654.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.