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Finding the Third Proportional to 626.48 and 974.00

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Solution

The third proportional to 626.48 and 974.00 is: 1,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.48 : 974.00 = 974.00 : x
  2. Step 2: Convert to fraction form
    626.48/974.00 = 974.00/x
  3. Step 3: Cross multiply
    626.48x = 974.00 × 974.00
  4. Step 4: Simplify right side
    626.48x = 948,683.61
  5. Step 5: Solve for x
    x = 948,683.61/626.48
  6. Step 6: Final answer
    x = 1,514.30

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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.