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Finding the Third Proportional to 580,718 and 871,077

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Solution

The third proportional to 580,718 and 871,077 is: 1,306,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,718 : 871,077 = 871,077 : x
  2. Step 2: Convert to fraction form
    580,718/871,077 = 871,077/x
  3. Step 3: Cross multiply
    580,718x = 871,077 × 871,077
  4. Step 4: Simplify right side
    580,718x = 758,775,139,929
  5. Step 5: Solve for x
    x = 758,775,139,929/580,718
  6. Step 6: Final answer
    x = 1,306,615.50

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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.