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Finding the Third Proportional to 204,774 and 425,896

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Solution

The third proportional to 204,774 and 425,896 is: 885,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,774 : 425,896 = 425,896 : x
  2. Step 2: Convert to fraction form
    204,774/425,896 = 425,896/x
  3. Step 3: Cross multiply
    204,774x = 425,896 × 425,896
  4. Step 4: Simplify right side
    204,774x = 181,387,402,816
  5. Step 5: Solve for x
    x = 181,387,402,816/204,774
  6. Step 6: Final answer
    x = 885,793.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.