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Finding the Third Proportional to 253,628 and 599,802

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Solution

The third proportional to 253,628 and 599,802 is: 1,418,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,628 : 599,802 = 599,802 : x
  2. Step 2: Convert to fraction form
    253,628/599,802 = 599,802/x
  3. Step 3: Cross multiply
    253,628x = 599,802 × 599,802
  4. Step 4: Simplify right side
    253,628x = 359,762,439,204
  5. Step 5: Solve for x
    x = 359,762,439,204/253,628
  6. Step 6: Final answer
    x = 1,418,464.99

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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.