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Finding the Third Proportional to 431,546 and 880,228

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Solution

The third proportional to 431,546 and 880,228 is: 1,795,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,546 : 880,228 = 880,228 : x
  2. Step 2: Convert to fraction form
    431,546/880,228 = 880,228/x
  3. Step 3: Cross multiply
    431,546x = 880,228 × 880,228
  4. Step 4: Simplify right side
    431,546x = 774,801,331,984
  5. Step 5: Solve for x
    x = 774,801,331,984/431,546
  6. Step 6: Final answer
    x = 1,795,408.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.