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Finding the Third Proportional to 217,482 and 479,114

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Solution

The third proportional to 217,482 and 479,114 is: 1,055,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,482 : 479,114 = 479,114 : x
  2. Step 2: Convert to fraction form
    217,482/479,114 = 479,114/x
  3. Step 3: Cross multiply
    217,482x = 479,114 × 479,114
  4. Step 4: Simplify right side
    217,482x = 229,550,224,996
  5. Step 5: Solve for x
    x = 229,550,224,996/217,482
  6. Step 6: Final answer
    x = 1,055,490.68

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Why These Related Problems?

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