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Finding the Third Proportional to 742.08 and 1,601.86

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Solution

The third proportional to 742.08 and 1,601.86 is: 3,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.08 : 1,601.86 = 1,601.86 : x
  2. Step 2: Convert to fraction form
    742.08/1,601.86 = 1,601.86/x
  3. Step 3: Cross multiply
    742.08x = 1,601.86 × 1,601.86
  4. Step 4: Simplify right side
    742.08x = 2,565,953.46
  5. Step 5: Solve for x
    x = 2,565,953.46/742.08
  6. Step 6: Final answer
    x = 3,457.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.