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Finding the Third Proportional to 613.13 and 1,433.81

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Solution

The third proportional to 613.13 and 1,433.81 is: 3,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 1,433.81 = 1,433.81 : x
  2. Step 2: Convert to fraction form
    613.13/1,433.81 = 1,433.81/x
  3. Step 3: Cross multiply
    613.13x = 1,433.81 × 1,433.81
  4. Step 4: Simplify right side
    613.13x = 2,055,818.29
  5. Step 5: Solve for x
    x = 2,055,818.29/613.13
  6. Step 6: Final answer
    x = 3,353.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.