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Finding the Third Proportional to 345,966.38 and 748,794.56

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Solution

The third proportional to 345,966.38 and 748,794.56 is: 1,620,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,966.38 : 748,794.56 = 748,794.56 : x
  2. Step 2: Convert to fraction form
    345,966.38/748,794.56 = 748,794.56/x
  3. Step 3: Cross multiply
    345,966.38x = 748,794.56 × 748,794.56
  4. Step 4: Simplify right side
    345,966.38x = 560,693,296,829.57
  5. Step 5: Solve for x
    x = 560,693,296,829.57/345,966.38
  6. Step 6: Final answer
    x = 1,620,658.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.