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Finding the Third Proportional to 205,744 and 448,904

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Solution

The third proportional to 205,744 and 448,904 is: 979,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744 : 448,904 = 448,904 : x
  2. Step 2: Convert to fraction form
    205,744/448,904 = 448,904/x
  3. Step 3: Cross multiply
    205,744x = 448,904 × 448,904
  4. Step 4: Simplify right side
    205,744x = 201,514,801,216
  5. Step 5: Solve for x
    x = 201,514,801,216/205,744
  6. Step 6: Final answer
    x = 979,444.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.