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Finding the Third Proportional to 266,464.13 and 409,578.75

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Solution

The third proportional to 266,464.13 and 409,578.75 is: 629,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,464.13 : 409,578.75 = 409,578.75 : x
  2. Step 2: Convert to fraction form
    266,464.13/409,578.75 = 409,578.75/x
  3. Step 3: Cross multiply
    266,464.13x = 409,578.75 × 409,578.75
  4. Step 4: Simplify right side
    266,464.13x = 167,754,752,451.56
  5. Step 5: Solve for x
    x = 167,754,752,451.56/266,464.13
  6. Step 6: Final answer
    x = 629,558.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.