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Finding the Third Proportional to 434.32 and 671.94

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Solution

The third proportional to 434.32 and 671.94 is: 1,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 671.94 = 671.94 : x
  2. Step 2: Convert to fraction form
    434.32/671.94 = 671.94/x
  3. Step 3: Cross multiply
    434.32x = 671.94 × 671.94
  4. Step 4: Simplify right side
    434.32x = 451,505.25
  5. Step 5: Solve for x
    x = 451,505.25/434.32
  6. Step 6: Final answer
    x = 1,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.