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Finding the Third Proportional to 580,774 and 871,161

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Solution

The third proportional to 580,774 and 871,161 is: 1,306,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,774 : 871,161 = 871,161 : x
  2. Step 2: Convert to fraction form
    580,774/871,161 = 871,161/x
  3. Step 3: Cross multiply
    580,774x = 871,161 × 871,161
  4. Step 4: Simplify right side
    580,774x = 758,921,487,921
  5. Step 5: Solve for x
    x = 758,921,487,921/580,774
  6. Step 6: Final answer
    x = 1,306,741.50

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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.