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Finding the Third Proportional to 739,162.13 and 816,922.13

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Solution

The third proportional to 739,162.13 and 816,922.13 is: 902,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,162.13 : 816,922.13 = 816,922.13 : x
  2. Step 2: Convert to fraction form
    739,162.13/816,922.13 = 816,922.13/x
  3. Step 3: Cross multiply
    739,162.13x = 816,922.13 × 816,922.13
  4. Step 4: Simplify right side
    739,162.13x = 667,361,758,314.52
  5. Step 5: Solve for x
    x = 667,361,758,314.52/739,162.13
  6. Step 6: Final answer
    x = 902,862.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.