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Finding the Third Proportional to 607.92 and 1,003.32

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Solution

The third proportional to 607.92 and 1,003.32 is: 1,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.92 : 1,003.32 = 1,003.32 : x
  2. Step 2: Convert to fraction form
    607.92/1,003.32 = 1,003.32/x
  3. Step 3: Cross multiply
    607.92x = 1,003.32 × 1,003.32
  4. Step 4: Simplify right side
    607.92x = 1,006,659.49
  5. Step 5: Solve for x
    x = 1,006,659.49/607.92
  6. Step 6: Final answer
    x = 1,655.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.