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Finding the Third Proportional to 288,046.13 and 618,738.75

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Solution

The third proportional to 288,046.13 and 618,738.75 is: 1,329,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.13 : 618,738.75 = 618,738.75 : x
  2. Step 2: Convert to fraction form
    288,046.13/618,738.75 = 618,738.75/x
  3. Step 3: Cross multiply
    288,046.13x = 618,738.75 × 618,738.75
  4. Step 4: Simplify right side
    288,046.13x = 382,837,640,751.56
  5. Step 5: Solve for x
    x = 382,837,640,751.56/288,046.13
  6. Step 6: Final answer
    x = 1,329,084.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.