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Finding the Third Proportional to 218,074 and 462,559

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Solution

The third proportional to 218,074 and 462,559 is: 981,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,074 : 462,559 = 462,559 : x
  2. Step 2: Convert to fraction form
    218,074/462,559 = 462,559/x
  3. Step 3: Cross multiply
    218,074x = 462,559 × 462,559
  4. Step 4: Simplify right side
    218,074x = 213,960,828,481
  5. Step 5: Solve for x
    x = 213,960,828,481/218,074
  6. Step 6: Final answer
    x = 981,138.64

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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.