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Finding the Third Proportional to 214,290 and 466,677

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Solution

The third proportional to 214,290 and 466,677 is: 1,016,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,290 : 466,677 = 466,677 : x
  2. Step 2: Convert to fraction form
    214,290/466,677 = 466,677/x
  3. Step 3: Cross multiply
    214,290x = 466,677 × 466,677
  4. Step 4: Simplify right side
    214,290x = 217,787,422,329
  5. Step 5: Solve for x
    x = 217,787,422,329/214,290
  6. Step 6: Final answer
    x = 1,016,320.98

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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.