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Finding the Third Proportional to 462,993 and 614,493

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Solution

The third proportional to 462,993 and 614,493 is: 815,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,993 : 614,493 = 614,493 : x
  2. Step 2: Convert to fraction form
    462,993/614,493 = 614,493/x
  3. Step 3: Cross multiply
    462,993x = 614,493 × 614,493
  4. Step 4: Simplify right side
    462,993x = 377,601,647,049
  5. Step 5: Solve for x
    x = 377,601,647,049/462,993
  6. Step 6: Final answer
    x = 815,566.64

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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.