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Finding the Third Proportional to 262,367 and 393,472

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Solution

The third proportional to 262,367 and 393,472 is: 590,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367 : 393,472 = 393,472 : x
  2. Step 2: Convert to fraction form
    262,367/393,472 = 393,472/x
  3. Step 3: Cross multiply
    262,367x = 393,472 × 393,472
  4. Step 4: Simplify right side
    262,367x = 154,820,214,784
  5. Step 5: Solve for x
    x = 154,820,214,784/262,367
  6. Step 6: Final answer
    x = 590,090.27

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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.