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Finding the Third Proportional to 312,429 and 672,324

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Solution

The third proportional to 312,429 and 672,324 is: 1,446,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,429 : 672,324 = 672,324 : x
  2. Step 2: Convert to fraction form
    312,429/672,324 = 672,324/x
  3. Step 3: Cross multiply
    312,429x = 672,324 × 672,324
  4. Step 4: Simplify right side
    312,429x = 452,019,560,976
  5. Step 5: Solve for x
    x = 452,019,560,976/312,429
  6. Step 6: Final answer
    x = 1,446,791.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.