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Finding the Third Proportional to 420,548 and 630,198

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Solution

The third proportional to 420,548 and 630,198 is: 944,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,548 : 630,198 = 630,198 : x
  2. Step 2: Convert to fraction form
    420,548/630,198 = 630,198/x
  3. Step 3: Cross multiply
    420,548x = 630,198 × 630,198
  4. Step 4: Simplify right side
    420,548x = 397,149,519,204
  5. Step 5: Solve for x
    x = 397,149,519,204/420,548
  6. Step 6: Final answer
    x = 944,361.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.