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Finding the Third Proportional to 468.84 and 981.84

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Solution

The third proportional to 468.84 and 981.84 is: 2,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 981.84 = 981.84 : x
  2. Step 2: Convert to fraction form
    468.84/981.84 = 981.84/x
  3. Step 3: Cross multiply
    468.84x = 981.84 × 981.84
  4. Step 4: Simplify right side
    468.84x = 964,017.15
  5. Step 5: Solve for x
    x = 964,017.15/468.84
  6. Step 6: Final answer
    x = 2,056.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.