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Finding the Third Proportional to 362.11 and 508.99

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Solution

The third proportional to 362.11 and 508.99 is: 715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.11 : 508.99 = 508.99 : x
  2. Step 2: Convert to fraction form
    362.11/508.99 = 508.99/x
  3. Step 3: Cross multiply
    362.11x = 508.99 × 508.99
  4. Step 4: Simplify right side
    362.11x = 259,073.05
  5. Step 5: Solve for x
    x = 259,073.05/362.11
  6. Step 6: Final answer
    x = 715.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.