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Finding the Third Proportional to 727.75 and 1,587.25

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Solution

The third proportional to 727.75 and 1,587.25 is: 3,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.75 : 1,587.25 = 1,587.25 : x
  2. Step 2: Convert to fraction form
    727.75/1,587.25 = 1,587.25/x
  3. Step 3: Cross multiply
    727.75x = 1,587.25 × 1,587.25
  4. Step 4: Simplify right side
    727.75x = 2,519,362.56
  5. Step 5: Solve for x
    x = 2,519,362.56/727.75
  6. Step 6: Final answer
    x = 3,461.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.