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Finding the Third Proportional to 214,532 and 457,552

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Solution

The third proportional to 214,532 and 457,552 is: 975,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532 : 457,552 = 457,552 : x
  2. Step 2: Convert to fraction form
    214,532/457,552 = 457,552/x
  3. Step 3: Cross multiply
    214,532x = 457,552 × 457,552
  4. Step 4: Simplify right side
    214,532x = 209,353,832,704
  5. Step 5: Solve for x
    x = 209,353,832,704/214,532
  6. Step 6: Final answer
    x = 975,862.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.