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Finding the Third Proportional to 278,880 and 420,944

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Solution

The third proportional to 278,880 and 420,944 is: 635,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,880 : 420,944 = 420,944 : x
  2. Step 2: Convert to fraction form
    278,880/420,944 = 420,944/x
  3. Step 3: Cross multiply
    278,880x = 420,944 × 420,944
  4. Step 4: Simplify right side
    278,880x = 177,193,851,136
  5. Step 5: Solve for x
    x = 177,193,851,136/278,880
  6. Step 6: Final answer
    x = 635,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.