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Finding the Third Proportional to 317,856 and 673,620

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Solution

The third proportional to 317,856 and 673,620 is: 1,427,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,856 : 673,620 = 673,620 : x
  2. Step 2: Convert to fraction form
    317,856/673,620 = 673,620/x
  3. Step 3: Cross multiply
    317,856x = 673,620 × 673,620
  4. Step 4: Simplify right side
    317,856x = 453,763,904,400
  5. Step 5: Solve for x
    x = 453,763,904,400/317,856
  6. Step 6: Final answer
    x = 1,427,576.97

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Why These Related Problems?

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