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Finding the Third Proportional to 464.11 and 693.82

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Solution

The third proportional to 464.11 and 693.82 is: 1,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.11 : 693.82 = 693.82 : x
  2. Step 2: Convert to fraction form
    464.11/693.82 = 693.82/x
  3. Step 3: Cross multiply
    464.11x = 693.82 × 693.82
  4. Step 4: Simplify right side
    464.11x = 481,385.61
  5. Step 5: Solve for x
    x = 481,385.61/464.11
  6. Step 6: Final answer
    x = 1,037.23

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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.