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Finding the Third Proportional to 262,011.50 and 394,330

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Solution

The third proportional to 262,011.50 and 394,330 is: 593,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,011.50 : 394,330 = 394,330 : x
  2. Step 2: Convert to fraction form
    262,011.50/394,330 = 394,330/x
  3. Step 3: Cross multiply
    262,011.50x = 394,330 × 394,330
  4. Step 4: Simplify right side
    262,011.50x = 155,496,148,900
  5. Step 5: Solve for x
    x = 155,496,148,900/262,011.50
  6. Step 6: Final answer
    x = 593,470.70

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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.