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Finding the Third Proportional to 366,123.75 and 547,859.25

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Solution

The third proportional to 366,123.75 and 547,859.25 is: 819,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,123.75 : 547,859.25 = 547,859.25 : x
  2. Step 2: Convert to fraction form
    366,123.75/547,859.25 = 547,859.25/x
  3. Step 3: Cross multiply
    366,123.75x = 547,859.25 × 547,859.25
  4. Step 4: Simplify right side
    366,123.75x = 300,149,757,810.56
  5. Step 5: Solve for x
    x = 300,149,757,810.56/366,123.75
  6. Step 6: Final answer
    x = 819,804.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.