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Finding the Third Proportional to 262.13 and 520.03

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Solution

The third proportional to 262.13 and 520.03 is: 1,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 520.03 = 520.03 : x
  2. Step 2: Convert to fraction form
    262.13/520.03 = 520.03/x
  3. Step 3: Cross multiply
    262.13x = 520.03 × 520.03
  4. Step 4: Simplify right side
    262.13x = 270,432.50
  5. Step 5: Solve for x
    x = 270,432.50/262.13
  6. Step 6: Final answer
    x = 1,031.69

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.