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Finding the Third Proportional to 381,057.75 and 584,763.75

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Solution

The third proportional to 381,057.75 and 584,763.75 is: 897,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,057.75 : 584,763.75 = 584,763.75 : x
  2. Step 2: Convert to fraction form
    381,057.75/584,763.75 = 584,763.75/x
  3. Step 3: Cross multiply
    381,057.75x = 584,763.75 × 584,763.75
  4. Step 4: Simplify right side
    381,057.75x = 341,948,643,314.06
  5. Step 5: Solve for x
    x = 341,948,643,314.06/381,057.75
  6. Step 6: Final answer
    x = 897,366.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.