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Finding the Third Proportional to 403.13 and 605.63

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Solution

The third proportional to 403.13 and 605.63 is: 909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.13 : 605.63 = 605.63 : x
  2. Step 2: Convert to fraction form
    403.13/605.63 = 605.63/x
  3. Step 3: Cross multiply
    403.13x = 605.63 × 605.63
  4. Step 4: Simplify right side
    403.13x = 366,781.64
  5. Step 5: Solve for x
    x = 366,781.64/403.13
  6. Step 6: Final answer
    x = 909.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.