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Finding the Third Proportional to 472.71 and 983.39

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Solution

The third proportional to 472.71 and 983.39 is: 2,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 983.39 = 983.39 : x
  2. Step 2: Convert to fraction form
    472.71/983.39 = 983.39/x
  3. Step 3: Cross multiply
    472.71x = 983.39 × 983.39
  4. Step 4: Simplify right side
    472.71x = 967,057.12
  5. Step 5: Solve for x
    x = 967,057.12/472.71
  6. Step 6: Final answer
    x = 2,045.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.