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Finding the Third Proportional to 607.75 and 942.88

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Solution

The third proportional to 607.75 and 942.88 is: 1,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 942.88 = 942.88 : x
  2. Step 2: Convert to fraction form
    607.75/942.88 = 942.88/x
  3. Step 3: Cross multiply
    607.75x = 942.88 × 942.88
  4. Step 4: Simplify right side
    607.75x = 889,013.27
  5. Step 5: Solve for x
    x = 889,013.27/607.75
  6. Step 6: Final answer
    x = 1,462.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.