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Finding the Third Proportional to 431,554 and 880,244

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Solution

The third proportional to 431,554 and 880,244 is: 1,795,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,554 : 880,244 = 880,244 : x
  2. Step 2: Convert to fraction form
    431,554/880,244 = 880,244/x
  3. Step 3: Cross multiply
    431,554x = 880,244 × 880,244
  4. Step 4: Simplify right side
    431,554x = 774,829,499,536
  5. Step 5: Solve for x
    x = 774,829,499,536/431,554
  6. Step 6: Final answer
    x = 1,795,440.43

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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.