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Finding the Third Proportional to 253,620 and 599,783

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Solution

The third proportional to 253,620 and 599,783 is: 1,418,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,620 : 599,783 = 599,783 : x
  2. Step 2: Convert to fraction form
    253,620/599,783 = 599,783/x
  3. Step 3: Cross multiply
    253,620x = 599,783 × 599,783
  4. Step 4: Simplify right side
    253,620x = 359,739,647,089
  5. Step 5: Solve for x
    x = 359,739,647,089/253,620
  6. Step 6: Final answer
    x = 1,418,419.87

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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.