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Finding the Third Proportional to 263.81 and 487.55

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Solution

The third proportional to 263.81 and 487.55 is: 901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 487.55 = 487.55 : x
  2. Step 2: Convert to fraction form
    263.81/487.55 = 487.55/x
  3. Step 3: Cross multiply
    263.81x = 487.55 × 487.55
  4. Step 4: Simplify right side
    263.81x = 237,701.96
  5. Step 5: Solve for x
    x = 237,701.96/263.81
  6. Step 6: Final answer
    x = 901.03

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.