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Finding the Third Proportional to 462,870 and 614,179.13

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Solution

The third proportional to 462,870 and 614,179.13 is: 814,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,870 : 614,179.13 = 614,179.13 : x
  2. Step 2: Convert to fraction form
    462,870/614,179.13 = 614,179.13/x
  3. Step 3: Cross multiply
    462,870x = 614,179.13 × 614,179.13
  4. Step 4: Simplify right side
    462,870x = 377,215,997,585.77
  5. Step 5: Solve for x
    x = 377,215,997,585.77/462,870
  6. Step 6: Final answer
    x = 814,950.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.