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Finding the Third Proportional to 406,204 and 880,204

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Solution

The third proportional to 406,204 and 880,204 is: 1,907,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,204 : 880,204 = 880,204 : x
  2. Step 2: Convert to fraction form
    406,204/880,204 = 880,204/x
  3. Step 3: Cross multiply
    406,204x = 880,204 × 880,204
  4. Step 4: Simplify right side
    406,204x = 774,759,081,616
  5. Step 5: Solve for x
    x = 774,759,081,616/406,204
  6. Step 6: Final answer
    x = 1,907,315.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.