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Finding the Third Proportional to 204,804 and 423,816

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Solution

The third proportional to 204,804 and 423,816 is: 877,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,804 : 423,816 = 423,816 : x
  2. Step 2: Convert to fraction form
    204,804/423,816 = 423,816/x
  3. Step 3: Cross multiply
    204,804x = 423,816 × 423,816
  4. Step 4: Simplify right side
    204,804x = 179,620,001,856
  5. Step 5: Solve for x
    x = 179,620,001,856/204,804
  6. Step 6: Final answer
    x = 877,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.