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Finding the Third Proportional to 652.13 and 974.44

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Solution

The third proportional to 652.13 and 974.44 is: 1,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 974.44 = 974.44 : x
  2. Step 2: Convert to fraction form
    652.13/974.44 = 974.44/x
  3. Step 3: Cross multiply
    652.13x = 974.44 × 974.44
  4. Step 4: Simplify right side
    652.13x = 949,528.44
  5. Step 5: Solve for x
    x = 949,528.44/652.13
  6. Step 6: Final answer
    x = 1,456.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.