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Finding the Third Proportional to 310,843.50 and 467,418.75

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Solution

The third proportional to 310,843.50 and 467,418.75 is: 702,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.50 : 467,418.75 = 467,418.75 : x
  2. Step 2: Convert to fraction form
    310,843.50/467,418.75 = 467,418.75/x
  3. Step 3: Cross multiply
    310,843.50x = 467,418.75 × 467,418.75
  4. Step 4: Simplify right side
    310,843.50x = 218,480,287,851.56
  5. Step 5: Solve for x
    x = 218,480,287,851.56/310,843.50
  6. Step 6: Final answer
    x = 702,862.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.