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Finding the Third Proportional to 570,626 and 871,167

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Solution

The third proportional to 570,626 and 871,167 is: 1,329,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,626 : 871,167 = 871,167 : x
  2. Step 2: Convert to fraction form
    570,626/871,167 = 871,167/x
  3. Step 3: Cross multiply
    570,626x = 871,167 × 871,167
  4. Step 4: Simplify right side
    570,626x = 758,931,941,889
  5. Step 5: Solve for x
    x = 758,931,941,889/570,626
  6. Step 6: Final answer
    x = 1,329,998.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.