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Finding the Third Proportional to 205,660 and 417,044

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Solution

The third proportional to 205,660 and 417,044 is: 845,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,660 : 417,044 = 417,044 : x
  2. Step 2: Convert to fraction form
    205,660/417,044 = 417,044/x
  3. Step 3: Cross multiply
    205,660x = 417,044 × 417,044
  4. Step 4: Simplify right side
    205,660x = 173,925,697,936
  5. Step 5: Solve for x
    x = 173,925,697,936/205,660
  6. Step 6: Final answer
    x = 845,695.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.