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Finding the Third Proportional to 493,233.75 and 1,059,895.13

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Solution

The third proportional to 493,233.75 and 1,059,895.13 is: 2,277,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,233.75 : 1,059,895.13 = 1,059,895.13 : x
  2. Step 2: Convert to fraction form
    493,233.75/1,059,895.13 = 1,059,895.13/x
  3. Step 3: Cross multiply
    493,233.75x = 1,059,895.13 × 1,059,895.13
  4. Step 4: Simplify right side
    493,233.75x = 1,123,377,675,998.77
  5. Step 5: Solve for x
    x = 1,123,377,675,998.77/493,233.75
  6. Step 6: Final answer
    x = 2,277,576.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.