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Finding the Third Proportional to 534,554 and 799,212

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Solution

The third proportional to 534,554 and 799,212 is: 1,194,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,554 : 799,212 = 799,212 : x
  2. Step 2: Convert to fraction form
    534,554/799,212 = 799,212/x
  3. Step 3: Cross multiply
    534,554x = 799,212 × 799,212
  4. Step 4: Simplify right side
    534,554x = 638,739,820,944
  5. Step 5: Solve for x
    x = 638,739,820,944/534,554
  6. Step 6: Final answer
    x = 1,194,902.33

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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.