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Finding the Third Proportional to 266,715 and 581,361.75

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Solution

The third proportional to 266,715 and 581,361.75 is: 1,267,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,715 : 581,361.75 = 581,361.75 : x
  2. Step 2: Convert to fraction form
    266,715/581,361.75 = 581,361.75/x
  3. Step 3: Cross multiply
    266,715x = 581,361.75 × 581,361.75
  4. Step 4: Simplify right side
    266,715x = 337,981,484,363.06
  5. Step 5: Solve for x
    x = 337,981,484,363.06/266,715
  6. Step 6: Final answer
    x = 1,267,200.89

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