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Finding the Third Proportional to 262,160 and 394,536

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Solution

The third proportional to 262,160 and 394,536 is: 593,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,160 : 394,536 = 394,536 : x
  2. Step 2: Convert to fraction form
    262,160/394,536 = 394,536/x
  3. Step 3: Cross multiply
    262,160x = 394,536 × 394,536
  4. Step 4: Simplify right side
    262,160x = 155,658,655,296
  5. Step 5: Solve for x
    x = 155,658,655,296/262,160
  6. Step 6: Final answer
    x = 593,754.41

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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.