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Finding the Third Proportional to 913.50 and 1,284.75

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Solution

The third proportional to 913.50 and 1,284.75 is: 1,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,284.75 = 1,284.75 : x
  2. Step 2: Convert to fraction form
    913.50/1,284.75 = 1,284.75/x
  3. Step 3: Cross multiply
    913.50x = 1,284.75 × 1,284.75
  4. Step 4: Simplify right side
    913.50x = 1,650,582.56
  5. Step 5: Solve for x
    x = 1,650,582.56/913.50
  6. Step 6: Final answer
    x = 1,806.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.