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Finding the Third Proportional to 626.84 and 974.43

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Solution

The third proportional to 626.84 and 974.43 is: 1,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.84 : 974.43 = 974.43 : x
  2. Step 2: Convert to fraction form
    626.84/974.43 = 974.43/x
  3. Step 3: Cross multiply
    626.84x = 974.43 × 974.43
  4. Step 4: Simplify right side
    626.84x = 949,518.45
  5. Step 5: Solve for x
    x = 949,518.45/626.84
  6. Step 6: Final answer
    x = 1,514.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.