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Finding the Third Proportional to 218,950 and 472,082

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Solution

The third proportional to 218,950 and 472,082 is: 1,017,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,950 : 472,082 = 472,082 : x
  2. Step 2: Convert to fraction form
    218,950/472,082 = 472,082/x
  3. Step 3: Cross multiply
    218,950x = 472,082 × 472,082
  4. Step 4: Simplify right side
    218,950x = 222,861,414,724
  5. Step 5: Solve for x
    x = 222,861,414,724/218,950
  6. Step 6: Final answer
    x = 1,017,864.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.