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Finding the Third Proportional to 434.86 and 668.39

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Solution

The third proportional to 434.86 and 668.39 is: 1,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 668.39 = 668.39 : x
  2. Step 2: Convert to fraction form
    434.86/668.39 = 668.39/x
  3. Step 3: Cross multiply
    434.86x = 668.39 × 668.39
  4. Step 4: Simplify right side
    434.86x = 446,746.03
  5. Step 5: Solve for x
    x = 446,746.03/434.86
  6. Step 6: Final answer
    x = 1,027.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.