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Finding the Third Proportional to 220,810 and 481,796

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Solution

The third proportional to 220,810 and 481,796 is: 1,051,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,810 : 481,796 = 481,796 : x
  2. Step 2: Convert to fraction form
    220,810/481,796 = 481,796/x
  3. Step 3: Cross multiply
    220,810x = 481,796 × 481,796
  4. Step 4: Simplify right side
    220,810x = 232,127,385,616
  5. Step 5: Solve for x
    x = 232,127,385,616/220,810
  6. Step 6: Final answer
    x = 1,051,253.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.