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Finding the Third Proportional to 332,976.25 and 722,085.75

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Solution

The third proportional to 332,976.25 and 722,085.75 is: 1,565,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,976.25 : 722,085.75 = 722,085.75 : x
  2. Step 2: Convert to fraction form
    332,976.25/722,085.75 = 722,085.75/x
  3. Step 3: Cross multiply
    332,976.25x = 722,085.75 × 722,085.75
  4. Step 4: Simplify right side
    332,976.25x = 521,407,830,353.06
  5. Step 5: Solve for x
    x = 521,407,830,353.06/332,976.25
  6. Step 6: Final answer
    x = 1,565,900.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.