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Finding the Third Proportional to 466.36 and 1,005.57

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Solution

The third proportional to 466.36 and 1,005.57 is: 2,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 1,005.57 = 1,005.57 : x
  2. Step 2: Convert to fraction form
    466.36/1,005.57 = 1,005.57/x
  3. Step 3: Cross multiply
    466.36x = 1,005.57 × 1,005.57
  4. Step 4: Simplify right side
    466.36x = 1,011,161.83
  5. Step 5: Solve for x
    x = 1,011,161.83/466.36
  6. Step 6: Final answer
    x = 2,168.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.