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Finding the Third Proportional to 400,956.50 and 871,861

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Solution

The third proportional to 400,956.50 and 871,861 is: 1,895,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,956.50 : 871,861 = 871,861 : x
  2. Step 2: Convert to fraction form
    400,956.50/871,861 = 871,861/x
  3. Step 3: Cross multiply
    400,956.50x = 871,861 × 871,861
  4. Step 4: Simplify right side
    400,956.50x = 760,141,603,321
  5. Step 5: Solve for x
    x = 760,141,603,321/400,956.50
  6. Step 6: Final answer
    x = 1,895,820.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.