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Finding the Third Proportional to 460 and 694.25

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Solution

The third proportional to 460 and 694.25 is: 1,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 694.25 = 694.25 : x
  2. Step 2: Convert to fraction form
    460/694.25 = 694.25/x
  3. Step 3: Cross multiply
    460x = 694.25 × 694.25
  4. Step 4: Simplify right side
    460x = 481,983.06
  5. Step 5: Solve for x
    x = 481,983.06/460
  6. Step 6: Final answer
    x = 1,047.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.