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Finding the Third Proportional to 662.06 and 973.97

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Solution

The third proportional to 662.06 and 973.97 is: 1,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 973.97 = 973.97 : x
  2. Step 2: Convert to fraction form
    662.06/973.97 = 973.97/x
  3. Step 3: Cross multiply
    662.06x = 973.97 × 973.97
  4. Step 4: Simplify right side
    662.06x = 948,615.13
  5. Step 5: Solve for x
    x = 948,615.13/662.06
  6. Step 6: Final answer
    x = 1,432.82

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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.