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Finding the Third Proportional to 214,338 and 457,098

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Solution

The third proportional to 214,338 and 457,098 is: 974,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,338 : 457,098 = 457,098 : x
  2. Step 2: Convert to fraction form
    214,338/457,098 = 457,098/x
  3. Step 3: Cross multiply
    214,338x = 457,098 × 457,098
  4. Step 4: Simplify right side
    214,338x = 208,938,581,604
  5. Step 5: Solve for x
    x = 208,938,581,604/214,338
  6. Step 6: Final answer
    x = 974,808.86

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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.