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Finding the Third Proportional to 317,854.13 and 480,021.19

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Solution

The third proportional to 317,854.13 and 480,021.19 is: 724,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,854.13 : 480,021.19 = 480,021.19 : x
  2. Step 2: Convert to fraction form
    317,854.13/480,021.19 = 480,021.19/x
  3. Step 3: Cross multiply
    317,854.13x = 480,021.19 × 480,021.19
  4. Step 4: Simplify right side
    317,854.13x = 230,420,340,448.91
  5. Step 5: Solve for x
    x = 230,420,340,448.91/317,854.13
  6. Step 6: Final answer
    x = 724,924.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.