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Finding the Third Proportional to 289,190.25 and 604,563.75

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Solution

The third proportional to 289,190.25 and 604,563.75 is: 1,263,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,190.25 : 604,563.75 = 604,563.75 : x
  2. Step 2: Convert to fraction form
    289,190.25/604,563.75 = 604,563.75/x
  3. Step 3: Cross multiply
    289,190.25x = 604,563.75 × 604,563.75
  4. Step 4: Simplify right side
    289,190.25x = 365,497,327,814.06
  5. Step 5: Solve for x
    x = 365,497,327,814.06/289,190.25
  6. Step 6: Final answer
    x = 1,263,864.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.