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Finding the Third Proportional to 476.86 and 965.74

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Solution

The third proportional to 476.86 and 965.74 is: 1,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.86 : 965.74 = 965.74 : x
  2. Step 2: Convert to fraction form
    476.86/965.74 = 965.74/x
  3. Step 3: Cross multiply
    476.86x = 965.74 × 965.74
  4. Step 4: Simplify right side
    476.86x = 932,657.97
  5. Step 5: Solve for x
    x = 932,657.97/476.86
  6. Step 6: Final answer
    x = 1,955.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.