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Finding the Third Proportional to 580,716 and 871,074

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Solution

The third proportional to 580,716 and 871,074 is: 1,306,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,716 : 871,074 = 871,074 : x
  2. Step 2: Convert to fraction form
    580,716/871,074 = 871,074/x
  3. Step 3: Cross multiply
    580,716x = 871,074 × 871,074
  4. Step 4: Simplify right side
    580,716x = 758,769,913,476
  5. Step 5: Solve for x
    x = 758,769,913,476/580,716
  6. Step 6: Final answer
    x = 1,306,611

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Why These Related Problems?

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