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Finding the Third Proportional to 462.23 and 998.58

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Solution

The third proportional to 462.23 and 998.58 is: 2,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.23 : 998.58 = 998.58 : x
  2. Step 2: Convert to fraction form
    462.23/998.58 = 998.58/x
  3. Step 3: Cross multiply
    462.23x = 998.58 × 998.58
  4. Step 4: Simplify right side
    462.23x = 997,158.27
  5. Step 5: Solve for x
    x = 997,158.27/462.23
  6. Step 6: Final answer
    x = 2,157.26

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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.