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Finding the Third Proportional to 622.13 and 933.13

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Solution

The third proportional to 622.13 and 933.13 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 933.13 = 933.13 : x
  2. Step 2: Convert to fraction form
    622.13/933.13 = 933.13/x
  3. Step 3: Cross multiply
    622.13x = 933.13 × 933.13
  4. Step 4: Simplify right side
    622.13x = 870,722.27
  5. Step 5: Solve for x
    x = 870,722.27/622.13
  6. Step 6: Final answer
    x = 1,399.59

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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.