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Finding the Third Proportional to 317,708.26 and 484,016.13

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Solution

The third proportional to 317,708.26 and 484,016.13 is: 737,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,708.26 : 484,016.13 = 484,016.13 : x
  2. Step 2: Convert to fraction form
    317,708.26/484,016.13 = 484,016.13/x
  3. Step 3: Cross multiply
    317,708.26x = 484,016.13 × 484,016.13
  4. Step 4: Simplify right side
    317,708.26x = 234,271,616,822.77
  5. Step 5: Solve for x
    x = 234,271,616,822.77/317,708.26
  6. Step 6: Final answer
    x = 737,379.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.