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Finding the Third Proportional to 474.05 and 971.58

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Solution

The third proportional to 474.05 and 971.58 is: 1,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.05 : 971.58 = 971.58 : x
  2. Step 2: Convert to fraction form
    474.05/971.58 = 971.58/x
  3. Step 3: Cross multiply
    474.05x = 971.58 × 971.58
  4. Step 4: Simplify right side
    474.05x = 943,964.05
  5. Step 5: Solve for x
    x = 943,964.05/474.05
  6. Step 6: Final answer
    x = 1,991.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.