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Finding the Third Proportional to 203,013 and 440,626.50

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Solution

The third proportional to 203,013 and 440,626.50 is: 956,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,013 : 440,626.50 = 440,626.50 : x
  2. Step 2: Convert to fraction form
    203,013/440,626.50 = 440,626.50/x
  3. Step 3: Cross multiply
    203,013x = 440,626.50 × 440,626.50
  4. Step 4: Simplify right side
    203,013x = 194,151,712,502.25
  5. Step 5: Solve for x
    x = 194,151,712,502.25/203,013
  6. Step 6: Final answer
    x = 956,351.13

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