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Finding the Third Proportional to 203,482 and 425,551

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Solution

The third proportional to 203,482 and 425,551 is: 889,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482 : 425,551 = 425,551 : x
  2. Step 2: Convert to fraction form
    203,482/425,551 = 425,551/x
  3. Step 3: Cross multiply
    203,482x = 425,551 × 425,551
  4. Step 4: Simplify right side
    203,482x = 181,093,653,601
  5. Step 5: Solve for x
    x = 181,093,653,601/203,482
  6. Step 6: Final answer
    x = 889,973.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.