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Finding the Third Proportional to 266,465.75 and 409,581.75

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Solution

The third proportional to 266,465.75 and 409,581.75 is: 629,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,465.75 : 409,581.75 = 409,581.75 : x
  2. Step 2: Convert to fraction form
    266,465.75/409,581.75 = 409,581.75/x
  3. Step 3: Cross multiply
    266,465.75x = 409,581.75 × 409,581.75
  4. Step 4: Simplify right side
    266,465.75x = 167,757,209,933.06
  5. Step 5: Solve for x
    x = 167,757,209,933.06/266,465.75
  6. Step 6: Final answer
    x = 629,563.87

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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.