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Finding the Third Proportional to 364,789.69 and 582,760.69

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Solution

The third proportional to 364,789.69 and 582,760.69 is: 930,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,789.69 : 582,760.69 = 582,760.69 : x
  2. Step 2: Convert to fraction form
    364,789.69/582,760.69 = 582,760.69/x
  3. Step 3: Cross multiply
    364,789.69x = 582,760.69 × 582,760.69
  4. Step 4: Simplify right side
    364,789.69x = 339,610,018,895.47
  5. Step 5: Solve for x
    x = 339,610,018,895.47/364,789.69
  6. Step 6: Final answer
    x = 930,974.83

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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.