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Finding the Third Proportional to 670.75 and 1,002.88

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Solution

The third proportional to 670.75 and 1,002.88 is: 1,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.75 : 1,002.88 = 1,002.88 : x
  2. Step 2: Convert to fraction form
    670.75/1,002.88 = 1,002.88/x
  3. Step 3: Cross multiply
    670.75x = 1,002.88 × 1,002.88
  4. Step 4: Simplify right side
    670.75x = 1,005,758.27
  5. Step 5: Solve for x
    x = 1,005,758.27/670.75
  6. Step 6: Final answer
    x = 1,499.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.