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Finding the Third Proportional to 739.76 and 934.98

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Solution

The third proportional to 739.76 and 934.98 is: 1,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 934.98 = 934.98 : x
  2. Step 2: Convert to fraction form
    739.76/934.98 = 934.98/x
  3. Step 3: Cross multiply
    739.76x = 934.98 × 934.98
  4. Step 4: Simplify right side
    739.76x = 874,188.48
  5. Step 5: Solve for x
    x = 874,188.48/739.76
  6. Step 6: Final answer
    x = 1,181.72

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.