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Finding the Third Proportional to 200,755.13 and 445,797

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Solution

The third proportional to 200,755.13 and 445,797 is: 989,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.13 : 445,797 = 445,797 : x
  2. Step 2: Convert to fraction form
    200,755.13/445,797 = 445,797/x
  3. Step 3: Cross multiply
    200,755.13x = 445,797 × 445,797
  4. Step 4: Simplify right side
    200,755.13x = 198,734,965,209
  5. Step 5: Solve for x
    x = 198,734,965,209/200,755.13
  6. Step 6: Final answer
    x = 989,937.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.