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Finding the Third Proportional to 283,753.13 and 593,790.75

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Solution

The third proportional to 283,753.13 and 593,790.75 is: 1,242,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,753.13 : 593,790.75 = 593,790.75 : x
  2. Step 2: Convert to fraction form
    283,753.13/593,790.75 = 593,790.75/x
  3. Step 3: Cross multiply
    283,753.13x = 593,790.75 × 593,790.75
  4. Step 4: Simplify right side
    283,753.13x = 352,587,454,785.56
  5. Step 5: Solve for x
    x = 352,587,454,785.56/283,753.13
  6. Step 6: Final answer
    x = 1,242,585.27

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.