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Finding the Third Proportional to 266,405.68 and 583,896.41

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Solution

The third proportional to 266,405.68 and 583,896.41 is: 1,279,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,405.68 : 583,896.41 = 583,896.41 : x
  2. Step 2: Convert to fraction form
    266,405.68/583,896.41 = 583,896.41/x
  3. Step 3: Cross multiply
    266,405.68x = 583,896.41 × 583,896.41
  4. Step 4: Simplify right side
    266,405.68x = 340,935,017,793.36
  5. Step 5: Solve for x
    x = 340,935,017,793.36/266,405.68
  6. Step 6: Final answer
    x = 1,279,758.83

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Why These Related Problems?

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