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Finding the Third Proportional to 626.63 and 971.16

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Solution

The third proportional to 626.63 and 971.16 is: 1,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.63 : 971.16 = 971.16 : x
  2. Step 2: Convert to fraction form
    626.63/971.16 = 971.16/x
  3. Step 3: Cross multiply
    626.63x = 971.16 × 971.16
  4. Step 4: Simplify right side
    626.63x = 943,144.46
  5. Step 5: Solve for x
    x = 943,144.46/626.63
  6. Step 6: Final answer
    x = 1,505.12

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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.