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Finding the Third Proportional to 199,824 and 425,544

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Solution

The third proportional to 199,824 and 425,544 is: 906,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,824 : 425,544 = 425,544 : x
  2. Step 2: Convert to fraction form
    199,824/425,544 = 425,544/x
  3. Step 3: Cross multiply
    199,824x = 425,544 × 425,544
  4. Step 4: Simplify right side
    199,824x = 181,087,695,936
  5. Step 5: Solve for x
    x = 181,087,695,936/199,824
  6. Step 6: Final answer
    x = 906,235.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.