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Finding the Third Proportional to 451.38 and 933.06

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Solution

The third proportional to 451.38 and 933.06 is: 1,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 933.06 = 933.06 : x
  2. Step 2: Convert to fraction form
    451.38/933.06 = 933.06/x
  3. Step 3: Cross multiply
    451.38x = 933.06 × 933.06
  4. Step 4: Simplify right side
    451.38x = 870,605.63
  5. Step 5: Solve for x
    x = 870,605.63/451.38
  6. Step 6: Final answer
    x = 1,928.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.