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Finding the Third Proportional to 269,953.50 and 394,561.50

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Solution

The third proportional to 269,953.50 and 394,561.50 is: 576,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,953.50 : 394,561.50 = 394,561.50 : x
  2. Step 2: Convert to fraction form
    269,953.50/394,561.50 = 394,561.50/x
  3. Step 3: Cross multiply
    269,953.50x = 394,561.50 × 394,561.50
  4. Step 4: Simplify right side
    269,953.50x = 155,678,777,282.25
  5. Step 5: Solve for x
    x = 155,678,777,282.25/269,953.50
  6. Step 6: Final answer
    x = 576,687.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.