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Finding the Third Proportional to 710.86 and 1,096.73

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Solution

The third proportional to 710.86 and 1,096.73 is: 1,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 1,096.73 = 1,096.73 : x
  2. Step 2: Convert to fraction form
    710.86/1,096.73 = 1,096.73/x
  3. Step 3: Cross multiply
    710.86x = 1,096.73 × 1,096.73
  4. Step 4: Simplify right side
    710.86x = 1,202,826.29
  5. Step 5: Solve for x
    x = 1,202,826.29/710.86
  6. Step 6: Final answer
    x = 1,692.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.