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Finding the Third Proportional to 266,829.25 and 583,432.75

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Solution

The third proportional to 266,829.25 and 583,432.75 is: 1,275,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,829.25 : 583,432.75 = 583,432.75 : x
  2. Step 2: Convert to fraction form
    266,829.25/583,432.75 = 583,432.75/x
  3. Step 3: Cross multiply
    266,829.25x = 583,432.75 × 583,432.75
  4. Step 4: Simplify right side
    266,829.25x = 340,393,773,772.56
  5. Step 5: Solve for x
    x = 340,393,773,772.56/266,829.25
  6. Step 6: Final answer
    x = 1,275,698.87

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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.