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Finding the Third Proportional to 534,456 and 799,092

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Solution

The third proportional to 534,456 and 799,092 is: 1,194,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,456 : 799,092 = 799,092 : x
  2. Step 2: Convert to fraction form
    534,456/799,092 = 799,092/x
  3. Step 3: Cross multiply
    534,456x = 799,092 × 799,092
  4. Step 4: Simplify right side
    534,456x = 638,548,024,464
  5. Step 5: Solve for x
    x = 638,548,024,464/534,456
  6. Step 6: Final answer
    x = 1,194,762.57

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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.