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Finding the Third Proportional to 334.75 and 734.63

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Solution

The third proportional to 334.75 and 734.63 is: 1,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 734.63 = 734.63 : x
  2. Step 2: Convert to fraction form
    334.75/734.63 = 734.63/x
  3. Step 3: Cross multiply
    334.75x = 734.63 × 734.63
  4. Step 4: Simplify right side
    334.75x = 539,673.89
  5. Step 5: Solve for x
    x = 539,673.89/334.75
  6. Step 6: Final answer
    x = 1,612.17

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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.