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Finding the Third Proportional to 426.52 and 930.23

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Solution

The third proportional to 426.52 and 930.23 is: 2,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 930.23 = 930.23 : x
  2. Step 2: Convert to fraction form
    426.52/930.23 = 930.23/x
  3. Step 3: Cross multiply
    426.52x = 930.23 × 930.23
  4. Step 4: Simplify right side
    426.52x = 865,335.99
  5. Step 5: Solve for x
    x = 865,335.99/426.52
  6. Step 6: Final answer
    x = 2,028.85

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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.