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Finding the Third Proportional to 540.75 and 1,275.94

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Solution

The third proportional to 540.75 and 1,275.94 is: 3,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 1,275.94 = 1,275.94 : x
  2. Step 2: Convert to fraction form
    540.75/1,275.94 = 1,275.94/x
  3. Step 3: Cross multiply
    540.75x = 1,275.94 × 1,275.94
  4. Step 4: Simplify right side
    540.75x = 1,628,016.50
  5. Step 5: Solve for x
    x = 1,628,016.50/540.75
  6. Step 6: Final answer
    x = 3,010.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.