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Finding the Third Proportional to 662.32 and 1,051.97

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Solution

The third proportional to 662.32 and 1,051.97 is: 1,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 1,051.97 = 1,051.97 : x
  2. Step 2: Convert to fraction form
    662.32/1,051.97 = 1,051.97/x
  3. Step 3: Cross multiply
    662.32x = 1,051.97 × 1,051.97
  4. Step 4: Simplify right side
    662.32x = 1,106,644.41
  5. Step 5: Solve for x
    x = 1,106,644.41/662.32
  6. Step 6: Final answer
    x = 1,670.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.