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Finding the Third Proportional to 575,466 and 871,191

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Solution

The third proportional to 575,466 and 871,191 is: 1,318,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,466 : 871,191 = 871,191 : x
  2. Step 2: Convert to fraction form
    575,466/871,191 = 871,191/x
  3. Step 3: Cross multiply
    575,466x = 871,191 × 871,191
  4. Step 4: Simplify right side
    575,466x = 758,973,758,481
  5. Step 5: Solve for x
    x = 758,973,758,481/575,466
  6. Step 6: Final answer
    x = 1,318,885.49

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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.