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Finding the Third Proportional to 305,452.69 and 658,243.13

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Solution

The third proportional to 305,452.69 and 658,243.13 is: 1,418,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,452.69 : 658,243.13 = 658,243.13 : x
  2. Step 2: Convert to fraction form
    305,452.69/658,243.13 = 658,243.13/x
  3. Step 3: Cross multiply
    305,452.69x = 658,243.13 × 658,243.13
  4. Step 4: Simplify right side
    305,452.69x = 433,284,011,609.77
  5. Step 5: Solve for x
    x = 433,284,011,609.77/305,452.69
  6. Step 6: Final answer
    x = 1,418,497.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.