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Finding the Third Proportional to 426.52 and 937.04

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Solution

The third proportional to 426.52 and 937.04 is: 2,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 937.04 = 937.04 : x
  2. Step 2: Convert to fraction form
    426.52/937.04 = 937.04/x
  3. Step 3: Cross multiply
    426.52x = 937.04 × 937.04
  4. Step 4: Simplify right side
    426.52x = 878,038.54
  5. Step 5: Solve for x
    x = 878,038.54/426.52
  6. Step 6: Final answer
    x = 2,058.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.