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Finding the Third Proportional to 404 and 726

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Solution

The third proportional to 404 and 726 is: 1,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 726 = 726 : x
  2. Step 2: Convert to fraction form
    404/726 = 726/x
  3. Step 3: Cross multiply
    404x = 726 × 726
  4. Step 4: Simplify right side
    404x = 527,076
  5. Step 5: Solve for x
    x = 527,076/404
  6. Step 6: Final answer
    x = 1,304.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.