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Finding the Third Proportional to 280,721 and 420,717

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Solution

The third proportional to 280,721 and 420,717 is: 630,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,721 : 420,717 = 420,717 : x
  2. Step 2: Convert to fraction form
    280,721/420,717 = 420,717/x
  3. Step 3: Cross multiply
    280,721x = 420,717 × 420,717
  4. Step 4: Simplify right side
    280,721x = 177,002,794,089
  5. Step 5: Solve for x
    x = 177,002,794,089/280,721
  6. Step 6: Final answer
    x = 630,529.22

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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.