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Finding the Third Proportional to 697.88 and 1,040.63

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Solution

The third proportional to 697.88 and 1,040.63 is: 1,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 1,040.63 = 1,040.63 : x
  2. Step 2: Convert to fraction form
    697.88/1,040.63 = 1,040.63/x
  3. Step 3: Cross multiply
    697.88x = 1,040.63 × 1,040.63
  4. Step 4: Simplify right side
    697.88x = 1,082,900.39
  5. Step 5: Solve for x
    x = 1,082,900.39/697.88
  6. Step 6: Final answer
    x = 1,551.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.