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Finding the Third Proportional to 235.41 and 493.59

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Solution

The third proportional to 235.41 and 493.59 is: 1,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 493.59 = 493.59 : x
  2. Step 2: Convert to fraction form
    235.41/493.59 = 493.59/x
  3. Step 3: Cross multiply
    235.41x = 493.59 × 493.59
  4. Step 4: Simplify right side
    235.41x = 243,634.79
  5. Step 5: Solve for x
    x = 243,634.79/235.41
  6. Step 6: Final answer
    x = 1,034.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.