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Finding the Third Proportional to 317,708.44 and 484,016.34

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Solution

The third proportional to 317,708.44 and 484,016.34 is: 737,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,708.44 : 484,016.34 = 484,016.34 : x
  2. Step 2: Convert to fraction form
    317,708.44/484,016.34 = 484,016.34/x
  3. Step 3: Cross multiply
    317,708.44x = 484,016.34 × 484,016.34
  4. Step 4: Simplify right side
    317,708.44x = 234,271,821,017.12
  5. Step 5: Solve for x
    x = 234,271,821,017.12/317,708.44
  6. Step 6: Final answer
    x = 737,379.92

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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.