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Finding the Third Proportional to 312,072.25 and 672,352.75

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Solution

The third proportional to 312,072.25 and 672,352.75 is: 1,448,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,072.25 : 672,352.75 = 672,352.75 : x
  2. Step 2: Convert to fraction form
    312,072.25/672,352.75 = 672,352.75/x
  3. Step 3: Cross multiply
    312,072.25x = 672,352.75 × 672,352.75
  4. Step 4: Simplify right side
    312,072.25x = 452,058,220,432.56
  5. Step 5: Solve for x
    x = 452,058,220,432.56/312,072.25
  6. Step 6: Final answer
    x = 1,448,569.11

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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.