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Finding the Third Proportional to 205,929 and 451,224

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Solution

The third proportional to 205,929 and 451,224 is: 988,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,929 : 451,224 = 451,224 : x
  2. Step 2: Convert to fraction form
    205,929/451,224 = 451,224/x
  3. Step 3: Cross multiply
    205,929x = 451,224 × 451,224
  4. Step 4: Simplify right side
    205,929x = 203,603,098,176
  5. Step 5: Solve for x
    x = 203,603,098,176/205,929
  6. Step 6: Final answer
    x = 988,705.32

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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.