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Finding the Third Proportional to 214,287 and 466,671

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Solution

The third proportional to 214,287 and 466,671 is: 1,016,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,287 : 466,671 = 466,671 : x
  2. Step 2: Convert to fraction form
    214,287/466,671 = 466,671/x
  3. Step 3: Cross multiply
    214,287x = 466,671 × 466,671
  4. Step 4: Simplify right side
    214,287x = 217,781,822,241
  5. Step 5: Solve for x
    x = 217,781,822,241/214,287
  6. Step 6: Final answer
    x = 1,016,309.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.