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Finding the Third Proportional to 253,651 and 599,861

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Solution

The third proportional to 253,651 and 599,861 is: 1,418,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,651 : 599,861 = 599,861 : x
  2. Step 2: Convert to fraction form
    253,651/599,861 = 599,861/x
  3. Step 3: Cross multiply
    253,651x = 599,861 × 599,861
  4. Step 4: Simplify right side
    253,651x = 359,833,219,321
  5. Step 5: Solve for x
    x = 359,833,219,321/253,651
  6. Step 6: Final answer
    x = 1,418,615.42

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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.