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Finding the Third Proportional to 218,418 and 479,664

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Solution

The third proportional to 218,418 and 479,664 is: 1,053,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418 : 479,664 = 479,664 : x
  2. Step 2: Convert to fraction form
    218,418/479,664 = 479,664/x
  3. Step 3: Cross multiply
    218,418x = 479,664 × 479,664
  4. Step 4: Simplify right side
    218,418x = 230,077,552,896
  5. Step 5: Solve for x
    x = 230,077,552,896/218,418
  6. Step 6: Final answer
    x = 1,053,381.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.