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Finding the Third Proportional to 217,414 and 466,969

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Solution

The third proportional to 217,414 and 466,969 is: 1,002,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414 : 466,969 = 466,969 : x
  2. Step 2: Convert to fraction form
    217,414/466,969 = 466,969/x
  3. Step 3: Cross multiply
    217,414x = 466,969 × 466,969
  4. Step 4: Simplify right side
    217,414x = 218,060,046,961
  5. Step 5: Solve for x
    x = 218,060,046,961/217,414
  6. Step 6: Final answer
    x = 1,002,971.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.