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Finding the Third Proportional to 352,744.88 and 773,043.75

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Solution

The third proportional to 352,744.88 and 773,043.75 is: 1,694,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,744.88 : 773,043.75 = 773,043.75 : x
  2. Step 2: Convert to fraction form
    352,744.88/773,043.75 = 773,043.75/x
  3. Step 3: Cross multiply
    352,744.88x = 773,043.75 × 773,043.75
  4. Step 4: Simplify right side
    352,744.88x = 597,596,639,414.06
  5. Step 5: Solve for x
    x = 597,596,639,414.06/352,744.88
  6. Step 6: Final answer
    x = 1,694,132.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.