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Finding the Third Proportional to 205,460 and 444,616

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Solution

The third proportional to 205,460 and 444,616 is: 962,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,460 : 444,616 = 444,616 : x
  2. Step 2: Convert to fraction form
    205,460/444,616 = 444,616/x
  3. Step 3: Cross multiply
    205,460x = 444,616 × 444,616
  4. Step 4: Simplify right side
    205,460x = 197,683,387,456
  5. Step 5: Solve for x
    x = 197,683,387,456/205,460
  6. Step 6: Final answer
    x = 962,150.24

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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.