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Finding the Third Proportional to 668,515.50 and 1,005,972.75

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Solution

The third proportional to 668,515.50 and 1,005,972.75 is: 1,513,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,515.50 : 1,005,972.75 = 1,005,972.75 : x
  2. Step 2: Convert to fraction form
    668,515.50/1,005,972.75 = 1,005,972.75/x
  3. Step 3: Cross multiply
    668,515.50x = 1,005,972.75 × 1,005,972.75
  4. Step 4: Simplify right side
    668,515.50x = 1,011,981,173,742.56
  5. Step 5: Solve for x
    x = 1,011,981,173,742.56/668,515.50
  6. Step 6: Final answer
    x = 1,513,773.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.