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Finding the Third Proportional to 491,115.25 and 738,500.50

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Solution

The third proportional to 491,115.25 and 738,500.50 is: 1,110,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,115.25 : 738,500.50 = 738,500.50 : x
  2. Step 2: Convert to fraction form
    491,115.25/738,500.50 = 738,500.50/x
  3. Step 3: Cross multiply
    491,115.25x = 738,500.50 × 738,500.50
  4. Step 4: Simplify right side
    491,115.25x = 545,382,988,500.25
  5. Step 5: Solve for x
    x = 545,382,988,500.25/491,115.25
  6. Step 6: Final answer
    x = 1,110,498.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.