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Finding the Third Proportional to 436,027.50 and 938,839.50

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Solution

The third proportional to 436,027.50 and 938,839.50 is: 2,021,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,027.50 : 938,839.50 = 938,839.50 : x
  2. Step 2: Convert to fraction form
    436,027.50/938,839.50 = 938,839.50/x
  3. Step 3: Cross multiply
    436,027.50x = 938,839.50 × 938,839.50
  4. Step 4: Simplify right side
    436,027.50x = 881,419,606,760.25
  5. Step 5: Solve for x
    x = 881,419,606,760.25/436,027.50
  6. Step 6: Final answer
    x = 2,021,477.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.