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Finding the Third Proportional to 317,959.50 and 673,827

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Solution

The third proportional to 317,959.50 and 673,827 is: 1,427,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,959.50 : 673,827 = 673,827 : x
  2. Step 2: Convert to fraction form
    317,959.50/673,827 = 673,827/x
  3. Step 3: Cross multiply
    317,959.50x = 673,827 × 673,827
  4. Step 4: Simplify right side
    317,959.50x = 454,042,825,929
  5. Step 5: Solve for x
    x = 454,042,825,929/317,959.50
  6. Step 6: Final answer
    x = 1,427,989.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.