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Finding the Third Proportional to 280,190 and 614,812

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Solution

The third proportional to 280,190 and 614,812 is: 1,349,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,190 : 614,812 = 614,812 : x
  2. Step 2: Convert to fraction form
    280,190/614,812 = 614,812/x
  3. Step 3: Cross multiply
    280,190x = 614,812 × 614,812
  4. Step 4: Simplify right side
    280,190x = 377,993,795,344
  5. Step 5: Solve for x
    x = 377,993,795,344/280,190
  6. Step 6: Final answer
    x = 1,349,062.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.