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Finding the Third Proportional to 331,805.25 and 725,703.75

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Solution

The third proportional to 331,805.25 and 725,703.75 is: 1,587,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,805.25 : 725,703.75 = 725,703.75 : x
  2. Step 2: Convert to fraction form
    331,805.25/725,703.75 = 725,703.75/x
  3. Step 3: Cross multiply
    331,805.25x = 725,703.75 × 725,703.75
  4. Step 4: Simplify right side
    331,805.25x = 526,645,932,764.06
  5. Step 5: Solve for x
    x = 526,645,932,764.06/331,805.25
  6. Step 6: Final answer
    x = 1,587,213.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.