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Finding the Third Proportional to 460.69 and 981.84

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Solution

The third proportional to 460.69 and 981.84 is: 2,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 981.84 = 981.84 : x
  2. Step 2: Convert to fraction form
    460.69/981.84 = 981.84/x
  3. Step 3: Cross multiply
    460.69x = 981.84 × 981.84
  4. Step 4: Simplify right side
    460.69x = 964,017.15
  5. Step 5: Solve for x
    x = 964,017.15/460.69
  6. Step 6: Final answer
    x = 2,092.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.