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Finding the Third Proportional to 311,494.50 and 681,957

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Solution

The third proportional to 311,494.50 and 681,957 is: 1,493,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,494.50 : 681,957 = 681,957 : x
  2. Step 2: Convert to fraction form
    311,494.50/681,957 = 681,957/x
  3. Step 3: Cross multiply
    311,494.50x = 681,957 × 681,957
  4. Step 4: Simplify right side
    311,494.50x = 465,065,349,849
  5. Step 5: Solve for x
    x = 465,065,349,849/311,494.50
  6. Step 6: Final answer
    x = 1,493,013.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.