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Finding the Third Proportional to 218,059 and 462,537

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Solution

The third proportional to 218,059 and 462,537 is: 981,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,059 : 462,537 = 462,537 : x
  2. Step 2: Convert to fraction form
    218,059/462,537 = 462,537/x
  3. Step 3: Cross multiply
    218,059x = 462,537 × 462,537
  4. Step 4: Simplify right side
    218,059x = 213,940,476,369
  5. Step 5: Solve for x
    x = 213,940,476,369/218,059
  6. Step 6: Final answer
    x = 981,112.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.