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Finding the Third Proportional to 205,895 and 444,594

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Solution

The third proportional to 205,895 and 444,594 is: 960,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,895 : 444,594 = 444,594 : x
  2. Step 2: Convert to fraction form
    205,895/444,594 = 444,594/x
  3. Step 3: Cross multiply
    205,895x = 444,594 × 444,594
  4. Step 4: Simplify right side
    205,895x = 197,663,824,836
  5. Step 5: Solve for x
    x = 197,663,824,836/205,895
  6. Step 6: Final answer
    x = 960,022.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.