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Finding the Third Proportional to 974.75 and 1,316.75

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Solution

The third proportional to 974.75 and 1,316.75 is: 1,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.75 : 1,316.75 = 1,316.75 : x
  2. Step 2: Convert to fraction form
    974.75/1,316.75 = 1,316.75/x
  3. Step 3: Cross multiply
    974.75x = 1,316.75 × 1,316.75
  4. Step 4: Simplify right side
    974.75x = 1,733,830.56
  5. Step 5: Solve for x
    x = 1,733,830.56/974.75
  6. Step 6: Final answer
    x = 1,778.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.