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Finding the Third Proportional to 607.59 and 942.61

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Solution

The third proportional to 607.59 and 942.61 is: 1,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.59 : 942.61 = 942.61 : x
  2. Step 2: Convert to fraction form
    607.59/942.61 = 942.61/x
  3. Step 3: Cross multiply
    607.59x = 942.61 × 942.61
  4. Step 4: Simplify right side
    607.59x = 888,512.43
  5. Step 5: Solve for x
    x = 888,512.43/607.59
  6. Step 6: Final answer
    x = 1,462.35

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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.