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Finding the Third Proportional to 487 and 666.75

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Solution

The third proportional to 487 and 666.75 is: 912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 666.75 = 666.75 : x
  2. Step 2: Convert to fraction form
    487/666.75 = 666.75/x
  3. Step 3: Cross multiply
    487x = 666.75 × 666.75
  4. Step 4: Simplify right side
    487x = 444,555.56
  5. Step 5: Solve for x
    x = 444,555.56/487
  6. Step 6: Final answer
    x = 912.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.