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Finding the Third Proportional to 436.13 and 939.13

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Solution

The third proportional to 436.13 and 939.13 is: 2,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.13 : 939.13 = 939.13 : x
  2. Step 2: Convert to fraction form
    436.13/939.13 = 939.13/x
  3. Step 3: Cross multiply
    436.13x = 939.13 × 939.13
  4. Step 4: Simplify right side
    436.13x = 881,955.77
  5. Step 5: Solve for x
    x = 881,955.77/436.13
  6. Step 6: Final answer
    x = 2,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.