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Finding the Third Proportional to 332,026.88 and 725,987.25

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Solution

The third proportional to 332,026.88 and 725,987.25 is: 1,587,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,026.88 : 725,987.25 = 725,987.25 : x
  2. Step 2: Convert to fraction form
    332,026.88/725,987.25 = 725,987.25/x
  3. Step 3: Cross multiply
    332,026.88x = 725,987.25 × 725,987.25
  4. Step 4: Simplify right side
    332,026.88x = 527,057,487,162.56
  5. Step 5: Solve for x
    x = 527,057,487,162.56/332,026.88
  6. Step 6: Final answer
    x = 1,587,394.05

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Why These Related Problems?

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