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Finding the Third Proportional to 697.13 and 1,029.56

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Solution

The third proportional to 697.13 and 1,029.56 is: 1,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,029.56 = 1,029.56 : x
  2. Step 2: Convert to fraction form
    697.13/1,029.56 = 1,029.56/x
  3. Step 3: Cross multiply
    697.13x = 1,029.56 × 1,029.56
  4. Step 4: Simplify right side
    697.13x = 1,059,998.94
  5. Step 5: Solve for x
    x = 1,059,998.94/697.13
  6. Step 6: Final answer
    x = 1,520.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.