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Finding the Third Proportional to 974.74 and 1,271.32

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Solution

The third proportional to 974.74 and 1,271.32 is: 1,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.74 : 1,271.32 = 1,271.32 : x
  2. Step 2: Convert to fraction form
    974.74/1,271.32 = 1,271.32/x
  3. Step 3: Cross multiply
    974.74x = 1,271.32 × 1,271.32
  4. Step 4: Simplify right side
    974.74x = 1,616,255.34
  5. Step 5: Solve for x
    x = 1,616,255.34/974.74
  6. Step 6: Final answer
    x = 1,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.