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Finding the Third Proportional to 902.06 and 1,707.94

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Solution

The third proportional to 902.06 and 1,707.94 is: 3,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.06 : 1,707.94 = 1,707.94 : x
  2. Step 2: Convert to fraction form
    902.06/1,707.94 = 1,707.94/x
  3. Step 3: Cross multiply
    902.06x = 1,707.94 × 1,707.94
  4. Step 4: Simplify right side
    902.06x = 2,917,050.50
  5. Step 5: Solve for x
    x = 2,917,050.50/902.06
  6. Step 6: Final answer
    x = 3,233.76

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.