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Finding the Third Proportional to 266,179.92 and 580,530.80

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Solution

The third proportional to 266,179.92 and 580,530.80 is: 1,266,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,179.92 : 580,530.80 = 580,530.80 : x
  2. Step 2: Convert to fraction form
    266,179.92/580,530.80 = 580,530.80/x
  3. Step 3: Cross multiply
    266,179.92x = 580,530.80 × 580,530.80
  4. Step 4: Simplify right side
    266,179.92x = 337,016,006,120.32
  5. Step 5: Solve for x
    x = 337,016,006,120.32/266,179.92
  6. Step 6: Final answer
    x = 1,266,121.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.