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Finding the Third Proportional to 334.97 and 734.91

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Solution

The third proportional to 334.97 and 734.91 is: 1,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.97 : 734.91 = 734.91 : x
  2. Step 2: Convert to fraction form
    334.97/734.91 = 734.91/x
  3. Step 3: Cross multiply
    334.97x = 734.91 × 734.91
  4. Step 4: Simplify right side
    334.97x = 540,087.20
  5. Step 5: Solve for x
    x = 540,087.20/334.97
  6. Step 6: Final answer
    x = 1,612.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.