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Finding the Third Proportional to 462,844.13 and 614,143.13

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Solution

The third proportional to 462,844.13 and 614,143.13 is: 814,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,844.13 : 614,143.13 = 614,143.13 : x
  2. Step 2: Convert to fraction form
    462,844.13/614,143.13 = 614,143.13/x
  3. Step 3: Cross multiply
    462,844.13x = 614,143.13 × 614,143.13
  4. Step 4: Simplify right side
    462,844.13x = 377,171,777,984.77
  5. Step 5: Solve for x
    x = 377,171,777,984.77/462,844.13
  6. Step 6: Final answer
    x = 814,900.22

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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.