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Finding the Third Proportional to 214,812 and 466,532

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Solution

The third proportional to 214,812 and 466,532 is: 1,013,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,812 : 466,532 = 466,532 : x
  2. Step 2: Convert to fraction form
    214,812/466,532 = 466,532/x
  3. Step 3: Cross multiply
    214,812x = 466,532 × 466,532
  4. Step 4: Simplify right side
    214,812x = 217,652,107,024
  5. Step 5: Solve for x
    x = 217,652,107,024/214,812
  6. Step 6: Final answer
    x = 1,013,221.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.