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Finding the Third Proportional to 205,640 and 476,011

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Solution

The third proportional to 205,640 and 476,011 is: 1,101,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,640 : 476,011 = 476,011 : x
  2. Step 2: Convert to fraction form
    205,640/476,011 = 476,011/x
  3. Step 3: Cross multiply
    205,640x = 476,011 × 476,011
  4. Step 4: Simplify right side
    205,640x = 226,586,472,121
  5. Step 5: Solve for x
    x = 226,586,472,121/205,640
  6. Step 6: Final answer
    x = 1,101,859.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.