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Finding the Third Proportional to 217,884 and 466,872

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Solution

The third proportional to 217,884 and 466,872 is: 1,000,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,884 : 466,872 = 466,872 : x
  2. Step 2: Convert to fraction form
    217,884/466,872 = 466,872/x
  3. Step 3: Cross multiply
    217,884x = 466,872 × 466,872
  4. Step 4: Simplify right side
    217,884x = 217,969,464,384
  5. Step 5: Solve for x
    x = 217,969,464,384/217,884
  6. Step 6: Final answer
    x = 1,000,392.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.