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Finding the Third Proportional to 269,896.50 and 580,657.50

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Solution

The third proportional to 269,896.50 and 580,657.50 is: 1,249,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,896.50 : 580,657.50 = 580,657.50 : x
  2. Step 2: Convert to fraction form
    269,896.50/580,657.50 = 580,657.50/x
  3. Step 3: Cross multiply
    269,896.50x = 580,657.50 × 580,657.50
  4. Step 4: Simplify right side
    269,896.50x = 337,163,132,306.25
  5. Step 5: Solve for x
    x = 337,163,132,306.25/269,896.50
  6. Step 6: Final answer
    x = 1,249,231.21

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Why These Related Problems?

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