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Finding the Third Proportional to 288,049.50 and 451,878.75

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Solution

The third proportional to 288,049.50 and 451,878.75 is: 708,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.50 : 451,878.75 = 451,878.75 : x
  2. Step 2: Convert to fraction form
    288,049.50/451,878.75 = 451,878.75/x
  3. Step 3: Cross multiply
    288,049.50x = 451,878.75 × 451,878.75
  4. Step 4: Simplify right side
    288,049.50x = 204,194,404,701.56
  5. Step 5: Solve for x
    x = 204,194,404,701.56/288,049.50
  6. Step 6: Final answer
    x = 708,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.