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Finding the Third Proportional to 275,587.31 and 425,865.09

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Solution

The third proportional to 275,587.31 and 425,865.09 is: 658,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,587.31 : 425,865.09 = 425,865.09 : x
  2. Step 2: Convert to fraction form
    275,587.31/425,865.09 = 425,865.09/x
  3. Step 3: Cross multiply
    275,587.31x = 425,865.09 × 425,865.09
  4. Step 4: Simplify right side
    275,587.31x = 181,361,078,074.70
  5. Step 5: Solve for x
    x = 181,361,078,074.70/275,587.31
  6. Step 6: Final answer
    x = 658,089.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.