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Finding the Third Proportional to 575,451 and 871,173

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Solution

The third proportional to 575,451 and 871,173 is: 1,318,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,451 : 871,173 = 871,173 : x
  2. Step 2: Convert to fraction form
    575,451/871,173 = 871,173/x
  3. Step 3: Cross multiply
    575,451x = 871,173 × 871,173
  4. Step 4: Simplify right side
    575,451x = 758,942,395,929
  5. Step 5: Solve for x
    x = 758,942,395,929/575,451
  6. Step 6: Final answer
    x = 1,318,865.37

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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.