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Finding the Third Proportional to 575,420.20 and 871,126.52

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Solution

The third proportional to 575,420.20 and 871,126.52 is: 1,318,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,420.20 : 871,126.52 = 871,126.52 : x
  2. Step 2: Convert to fraction form
    575,420.20/871,126.52 = 871,126.52/x
  3. Step 3: Cross multiply
    575,420.20x = 871,126.52 × 871,126.52
  4. Step 4: Simplify right side
    575,420.20x = 758,861,419,836.31
  5. Step 5: Solve for x
    x = 758,861,419,836.31/575,420.20
  6. Step 6: Final answer
    x = 1,318,795.23

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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.