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Finding the Third Proportional to 203,634 and 428,581.13

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Solution

The third proportional to 203,634 and 428,581.13 is: 902,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,634 : 428,581.13 = 428,581.13 : x
  2. Step 2: Convert to fraction form
    203,634/428,581.13 = 428,581.13/x
  3. Step 3: Cross multiply
    203,634x = 428,581.13 × 428,581.13
  4. Step 4: Simplify right side
    203,634x = 183,681,780,706.27
  5. Step 5: Solve for x
    x = 183,681,780,706.27/203,634
  6. Step 6: Final answer
    x = 902,019.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.