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Finding the Third Proportional to 534,563 and 799,225

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Solution

The third proportional to 534,563 and 799,225 is: 1,194,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,563 : 799,225 = 799,225 : x
  2. Step 2: Convert to fraction form
    534,563/799,225 = 799,225/x
  3. Step 3: Cross multiply
    534,563x = 799,225 × 799,225
  4. Step 4: Simplify right side
    534,563x = 638,760,600,625
  5. Step 5: Solve for x
    x = 638,760,600,625/534,563
  6. Step 6: Final answer
    x = 1,194,921.09

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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.