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Finding the Third Proportional to 269,878.50 and 396,069

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Solution

The third proportional to 269,878.50 and 396,069 is: 581,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,878.50 : 396,069 = 396,069 : x
  2. Step 2: Convert to fraction form
    269,878.50/396,069 = 396,069/x
  3. Step 3: Cross multiply
    269,878.50x = 396,069 × 396,069
  4. Step 4: Simplify right side
    269,878.50x = 156,870,652,761
  5. Step 5: Solve for x
    x = 156,870,652,761/269,878.50
  6. Step 6: Final answer
    x = 581,263.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.