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Finding the Third Proportional to 491,194.13 and 738,613.69

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Solution

The third proportional to 491,194.13 and 738,613.69 is: 1,110,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,194.13 : 738,613.69 = 738,613.69 : x
  2. Step 2: Convert to fraction form
    491,194.13/738,613.69 = 738,613.69/x
  3. Step 3: Cross multiply
    491,194.13x = 738,613.69 × 738,613.69
  4. Step 4: Simplify right side
    491,194.13x = 545,550,179,362.35
  5. Step 5: Solve for x
    x = 545,550,179,362.35/491,194.13
  6. Step 6: Final answer
    x = 1,110,661.04

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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.