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Finding the Third Proportional to 344,902.50 and 463,488.75

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Solution

The third proportional to 344,902.50 and 463,488.75 is: 622,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,902.50 : 463,488.75 = 463,488.75 : x
  2. Step 2: Convert to fraction form
    344,902.50/463,488.75 = 463,488.75/x
  3. Step 3: Cross multiply
    344,902.50x = 463,488.75 × 463,488.75
  4. Step 4: Simplify right side
    344,902.50x = 214,821,821,376.56
  5. Step 5: Solve for x
    x = 214,821,821,376.56/344,902.50
  6. Step 6: Final answer
    x = 622,847.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.