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Finding the Third Proportional to 727.50 and 1,803.75

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Solution

The third proportional to 727.50 and 1,803.75 is: 4,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.50 : 1,803.75 = 1,803.75 : x
  2. Step 2: Convert to fraction form
    727.50/1,803.75 = 1,803.75/x
  3. Step 3: Cross multiply
    727.50x = 1,803.75 × 1,803.75
  4. Step 4: Simplify right side
    727.50x = 3,253,514.06
  5. Step 5: Solve for x
    x = 3,253,514.06/727.50
  6. Step 6: Final answer
    x = 4,472.18

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.