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Finding the Third Proportional to 232,854.75 and 561,633.75

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Solution

The third proportional to 232,854.75 and 561,633.75 is: 1,354,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,854.75 : 561,633.75 = 561,633.75 : x
  2. Step 2: Convert to fraction form
    232,854.75/561,633.75 = 561,633.75/x
  3. Step 3: Cross multiply
    232,854.75x = 561,633.75 × 561,633.75
  4. Step 4: Simplify right side
    232,854.75x = 315,432,469,139.06
  5. Step 5: Solve for x
    x = 315,432,469,139.06/232,854.75
  6. Step 6: Final answer
    x = 1,354,631.89

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.