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Finding the Third Proportional to 662.19 and 971.56

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Solution

The third proportional to 662.19 and 971.56 is: 1,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.19 : 971.56 = 971.56 : x
  2. Step 2: Convert to fraction form
    662.19/971.56 = 971.56/x
  3. Step 3: Cross multiply
    662.19x = 971.56 × 971.56
  4. Step 4: Simplify right side
    662.19x = 943,933.69
  5. Step 5: Solve for x
    x = 943,933.69/662.19
  6. Step 6: Final answer
    x = 1,425.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.