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Finding the Third Proportional to 398,763 and 591,036.75

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Solution

The third proportional to 398,763 and 591,036.75 is: 876,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,763 : 591,036.75 = 591,036.75 : x
  2. Step 2: Convert to fraction form
    398,763/591,036.75 = 591,036.75/x
  3. Step 3: Cross multiply
    398,763x = 591,036.75 × 591,036.75
  4. Step 4: Simplify right side
    398,763x = 349,324,439,850.56
  5. Step 5: Solve for x
    x = 349,324,439,850.56/398,763
  6. Step 6: Final answer
    x = 876,020.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.