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Finding the Third Proportional to 693.42 and 760.92

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Solution

The third proportional to 693.42 and 760.92 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.42 : 760.92 = 760.92 : x
  2. Step 2: Convert to fraction form
    693.42/760.92 = 760.92/x
  3. Step 3: Cross multiply
    693.42x = 760.92 × 760.92
  4. Step 4: Simplify right side
    693.42x = 579,002.10
  5. Step 5: Solve for x
    x = 579,002.10/693.42
  6. Step 6: Final answer
    x = 834.99

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.