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Finding the Third Proportional to 420,767.25 and 894,052.75

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Solution

The third proportional to 420,767.25 and 894,052.75 is: 1,899,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,767.25 : 894,052.75 = 894,052.75 : x
  2. Step 2: Convert to fraction form
    420,767.25/894,052.75 = 894,052.75/x
  3. Step 3: Cross multiply
    420,767.25x = 894,052.75 × 894,052.75
  4. Step 4: Simplify right side
    420,767.25x = 799,330,319,782.56
  5. Step 5: Solve for x
    x = 799,330,319,782.56/420,767.25
  6. Step 6: Final answer
    x = 1,899,697.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.