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Finding the Third Proportional to 575,452 and 871,171

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Solution

The third proportional to 575,452 and 871,171 is: 1,318,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,452 : 871,171 = 871,171 : x
  2. Step 2: Convert to fraction form
    575,452/871,171 = 871,171/x
  3. Step 3: Cross multiply
    575,452x = 871,171 × 871,171
  4. Step 4: Simplify right side
    575,452x = 758,938,911,241
  5. Step 5: Solve for x
    x = 758,938,911,241/575,452
  6. Step 6: Final answer
    x = 1,318,857.02

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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.