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Finding the Third Proportional to 575,458.50 and 871,183.50

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Solution

The third proportional to 575,458.50 and 871,183.50 is: 1,318,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,458.50 : 871,183.50 = 871,183.50 : x
  2. Step 2: Convert to fraction form
    575,458.50/871,183.50 = 871,183.50/x
  3. Step 3: Cross multiply
    575,458.50x = 871,183.50 × 871,183.50
  4. Step 4: Simplify right side
    575,458.50x = 758,960,690,672.25
  5. Step 5: Solve for x
    x = 758,960,690,672.25/575,458.50
  6. Step 6: Final answer
    x = 1,318,879.97

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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.