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Finding the Third Proportional to 648.84 and 997.10

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Solution

The third proportional to 648.84 and 997.10 is: 1,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 997.10 = 997.10 : x
  2. Step 2: Convert to fraction form
    648.84/997.10 = 997.10/x
  3. Step 3: Cross multiply
    648.84x = 997.10 × 997.10
  4. Step 4: Simplify right side
    648.84x = 994,211.53
  5. Step 5: Solve for x
    x = 994,211.53/648.84
  6. Step 6: Final answer
    x = 1,532.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.