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Finding the Third Proportional to 217,412 and 466,964

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Solution

The third proportional to 217,412 and 466,964 is: 1,002,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,412 : 466,964 = 466,964 : x
  2. Step 2: Convert to fraction form
    217,412/466,964 = 466,964/x
  3. Step 3: Cross multiply
    217,412x = 466,964 × 466,964
  4. Step 4: Simplify right side
    217,412x = 218,055,377,296
  5. Step 5: Solve for x
    x = 218,055,377,296/217,412
  6. Step 6: Final answer
    x = 1,002,959.25

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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.