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Finding the Third Proportional to 575,425 and 871,134

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Solution

The third proportional to 575,425 and 871,134 is: 1,318,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,425 : 871,134 = 871,134 : x
  2. Step 2: Convert to fraction form
    575,425/871,134 = 871,134/x
  3. Step 3: Cross multiply
    575,425x = 871,134 × 871,134
  4. Step 4: Simplify right side
    575,425x = 758,874,445,956
  5. Step 5: Solve for x
    x = 758,874,445,956/575,425
  6. Step 6: Final answer
    x = 1,318,806.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.