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Finding the Third Proportional to 205,726.50 and 449,901

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Solution

The third proportional to 205,726.50 and 449,901 is: 983,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,726.50 : 449,901 = 449,901 : x
  2. Step 2: Convert to fraction form
    205,726.50/449,901 = 449,901/x
  3. Step 3: Cross multiply
    205,726.50x = 449,901 × 449,901
  4. Step 4: Simplify right side
    205,726.50x = 202,410,909,801
  5. Step 5: Solve for x
    x = 202,410,909,801/205,726.50
  6. Step 6: Final answer
    x = 983,883.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.