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Finding the Third Proportional to 497.53 and 693.84

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Solution

The third proportional to 497.53 and 693.84 is: 967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 693.84 = 693.84 : x
  2. Step 2: Convert to fraction form
    497.53/693.84 = 693.84/x
  3. Step 3: Cross multiply
    497.53x = 693.84 × 693.84
  4. Step 4: Simplify right side
    497.53x = 481,419.15
  5. Step 5: Solve for x
    x = 481,419.15/497.53
  6. Step 6: Final answer
    x = 967.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.