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Finding the Third Proportional to 364,789.13 and 582,760.13

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Solution

The third proportional to 364,789.13 and 582,760.13 is: 930,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,789.13 : 582,760.13 = 582,760.13 : x
  2. Step 2: Convert to fraction form
    364,789.13/582,760.13 = 582,760.13/x
  3. Step 3: Cross multiply
    364,789.13x = 582,760.13 × 582,760.13
  4. Step 4: Simplify right side
    364,789.13x = 339,609,363,290.02
  5. Step 5: Solve for x
    x = 339,609,363,290.02/364,789.13
  6. Step 6: Final answer
    x = 930,974.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.