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Finding the Third Proportional to 387,768.38 and 582,062.63

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Solution

The third proportional to 387,768.38 and 582,062.63 is: 873,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,768.38 : 582,062.63 = 582,062.63 : x
  2. Step 2: Convert to fraction form
    387,768.38/582,062.63 = 582,062.63/x
  3. Step 3: Cross multiply
    387,768.38x = 582,062.63 × 582,062.63
  4. Step 4: Simplify right side
    387,768.38x = 338,796,899,421.89
  5. Step 5: Solve for x
    x = 338,796,899,421.89/387,768.38
  6. Step 6: Final answer
    x = 873,709.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.