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Finding the Third Proportional to 253,624 and 599,793

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Solution

The third proportional to 253,624 and 599,793 is: 1,418,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,624 : 599,793 = 599,793 : x
  2. Step 2: Convert to fraction form
    253,624/599,793 = 599,793/x
  3. Step 3: Cross multiply
    253,624x = 599,793 × 599,793
  4. Step 4: Simplify right side
    253,624x = 359,751,642,849
  5. Step 5: Solve for x
    x = 359,751,642,849/253,624
  6. Step 6: Final answer
    x = 1,418,444.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.