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Finding the Third Proportional to 317,099.81 and 491,103

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Solution

The third proportional to 317,099.81 and 491,103 is: 760,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,099.81 : 491,103 = 491,103 : x
  2. Step 2: Convert to fraction form
    317,099.81/491,103 = 491,103/x
  3. Step 3: Cross multiply
    317,099.81x = 491,103 × 491,103
  4. Step 4: Simplify right side
    317,099.81x = 241,182,156,609
  5. Step 5: Solve for x
    x = 241,182,156,609/317,099.81
  6. Step 6: Final answer
    x = 760,587.51

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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.