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Finding the Third Proportional to 323,729.63 and 756,127.13

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Solution

The third proportional to 323,729.63 and 756,127.13 is: 1,766,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,729.63 : 756,127.13 = 756,127.13 : x
  2. Step 2: Convert to fraction form
    323,729.63/756,127.13 = 756,127.13/x
  3. Step 3: Cross multiply
    323,729.63x = 756,127.13 × 756,127.13
  4. Step 4: Simplify right side
    323,729.63x = 571,728,229,160.77
  5. Step 5: Solve for x
    x = 571,728,229,160.77/323,729.63
  6. Step 6: Final answer
    x = 1,766,067.07

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.