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Finding the Third Proportional to 468.91 and 1,020.41

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Solution

The third proportional to 468.91 and 1,020.41 is: 2,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 1,020.41 = 1,020.41 : x
  2. Step 2: Convert to fraction form
    468.91/1,020.41 = 1,020.41/x
  3. Step 3: Cross multiply
    468.91x = 1,020.41 × 1,020.41
  4. Step 4: Simplify right side
    468.91x = 1,041,236.89
  5. Step 5: Solve for x
    x = 1,041,236.89/468.91
  6. Step 6: Final answer
    x = 2,220.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.