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Finding the Third Proportional to 262,434 and 393,581

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Solution

The third proportional to 262,434 and 393,581 is: 590,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,434 : 393,581 = 393,581 : x
  2. Step 2: Convert to fraction form
    262,434/393,581 = 393,581/x
  3. Step 3: Cross multiply
    262,434x = 393,581 × 393,581
  4. Step 4: Simplify right side
    262,434x = 154,906,003,561
  5. Step 5: Solve for x
    x = 154,906,003,561/262,434
  6. Step 6: Final answer
    x = 590,266.52

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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.