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Finding the Third Proportional to 436,954.50 and 598,002.75

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Solution

The third proportional to 436,954.50 and 598,002.75 is: 818,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,954.50 : 598,002.75 = 598,002.75 : x
  2. Step 2: Convert to fraction form
    436,954.50/598,002.75 = 598,002.75/x
  3. Step 3: Cross multiply
    436,954.50x = 598,002.75 × 598,002.75
  4. Step 4: Simplify right side
    436,954.50x = 357,607,289,007.56
  5. Step 5: Solve for x
    x = 357,607,289,007.56/436,954.50
  6. Step 6: Final answer
    x = 818,408.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.