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Finding the Third Proportional to 317,976 and 673,856

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Solution

The third proportional to 317,976 and 673,856 is: 1,428,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,976 : 673,856 = 673,856 : x
  2. Step 2: Convert to fraction form
    317,976/673,856 = 673,856/x
  3. Step 3: Cross multiply
    317,976x = 673,856 × 673,856
  4. Step 4: Simplify right side
    317,976x = 454,081,908,736
  5. Step 5: Solve for x
    x = 454,081,908,736/317,976
  6. Step 6: Final answer
    x = 1,428,038.31

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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.