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Finding the Third Proportional to 477.84 and 984.09

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Solution

The third proportional to 477.84 and 984.09 is: 2,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 984.09 = 984.09 : x
  2. Step 2: Convert to fraction form
    477.84/984.09 = 984.09/x
  3. Step 3: Cross multiply
    477.84x = 984.09 × 984.09
  4. Step 4: Simplify right side
    477.84x = 968,440.51
  5. Step 5: Solve for x
    x = 968,440.51/477.84
  6. Step 6: Final answer
    x = 2,026.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.