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Finding the Third Proportional to 494.44 and 706.64

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Solution

The third proportional to 494.44 and 706.64 is: 1,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 706.64 = 706.64 : x
  2. Step 2: Convert to fraction form
    494.44/706.64 = 706.64/x
  3. Step 3: Cross multiply
    494.44x = 706.64 × 706.64
  4. Step 4: Simplify right side
    494.44x = 499,340.97
  5. Step 5: Solve for x
    x = 499,340.97/494.44
  6. Step 6: Final answer
    x = 1,009.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.