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Finding the Third Proportional to 244,734.75 and 378,202.50

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Solution

The third proportional to 244,734.75 and 378,202.50 is: 584,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,734.75 : 378,202.50 = 378,202.50 : x
  2. Step 2: Convert to fraction form
    244,734.75/378,202.50 = 378,202.50/x
  3. Step 3: Cross multiply
    244,734.75x = 378,202.50 × 378,202.50
  4. Step 4: Simplify right side
    244,734.75x = 143,037,131,006.25
  5. Step 5: Solve for x
    x = 143,037,131,006.25/244,734.75
  6. Step 6: Final answer
    x = 584,457.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.