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Finding the Third Proportional to 263,526 and 394,569

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Solution

The third proportional to 263,526 and 394,569 is: 590,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,526 : 394,569 = 394,569 : x
  2. Step 2: Convert to fraction form
    263,526/394,569 = 394,569/x
  3. Step 3: Cross multiply
    263,526x = 394,569 × 394,569
  4. Step 4: Simplify right side
    263,526x = 155,684,695,761
  5. Step 5: Solve for x
    x = 155,684,695,761/263,526
  6. Step 6: Final answer
    x = 590,775.47

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Why These Related Problems?

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