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Finding the Third Proportional to 344,398.50 and 461,922.75

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Solution

The third proportional to 344,398.50 and 461,922.75 is: 619,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,398.50 : 461,922.75 = 461,922.75 : x
  2. Step 2: Convert to fraction form
    344,398.50/461,922.75 = 461,922.75/x
  3. Step 3: Cross multiply
    344,398.50x = 461,922.75 × 461,922.75
  4. Step 4: Simplify right side
    344,398.50x = 213,372,626,967.56
  5. Step 5: Solve for x
    x = 213,372,626,967.56/344,398.50
  6. Step 6: Final answer
    x = 619,551.56

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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.