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Finding the Third Proportional to 280,526 and 394,581

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Solution

The third proportional to 280,526 and 394,581 is: 555,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,526 : 394,581 = 394,581 : x
  2. Step 2: Convert to fraction form
    280,526/394,581 = 394,581/x
  3. Step 3: Cross multiply
    280,526x = 394,581 × 394,581
  4. Step 4: Simplify right side
    280,526x = 155,694,165,561
  5. Step 5: Solve for x
    x = 155,694,165,561/280,526
  6. Step 6: Final answer
    x = 555,007.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.