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Finding the Third Proportional to 262,446 and 393,597

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Solution

The third proportional to 262,446 and 393,597 is: 590,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446 : 393,597 = 393,597 : x
  2. Step 2: Convert to fraction form
    262,446/393,597 = 393,597/x
  3. Step 3: Cross multiply
    262,446x = 393,597 × 393,597
  4. Step 4: Simplify right side
    262,446x = 154,918,598,409
  5. Step 5: Solve for x
    x = 154,918,598,409/262,446
  6. Step 6: Final answer
    x = 590,287.52

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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.