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Finding the Third Proportional to 334.60 and 726.63

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Solution

The third proportional to 334.60 and 726.63 is: 1,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 726.63 = 726.63 : x
  2. Step 2: Convert to fraction form
    334.60/726.63 = 726.63/x
  3. Step 3: Cross multiply
    334.60x = 726.63 × 726.63
  4. Step 4: Simplify right side
    334.60x = 527,986.73
  5. Step 5: Solve for x
    x = 527,986.73/334.60
  6. Step 6: Final answer
    x = 1,577.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.