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Finding the Third Proportional to 731.75 and 1,018.88

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Solution

The third proportional to 731.75 and 1,018.88 is: 1,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 1,018.88 = 1,018.88 : x
  2. Step 2: Convert to fraction form
    731.75/1,018.88 = 1,018.88/x
  3. Step 3: Cross multiply
    731.75x = 1,018.88 × 1,018.88
  4. Step 4: Simplify right side
    731.75x = 1,038,106.27
  5. Step 5: Solve for x
    x = 1,038,106.27/731.75
  6. Step 6: Final answer
    x = 1,418.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.