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Finding the Third Proportional to 357,891.75 and 778,757.25

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Solution

The third proportional to 357,891.75 and 778,757.25 is: 1,694,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,891.75 : 778,757.25 = 778,757.25 : x
  2. Step 2: Convert to fraction form
    357,891.75/778,757.25 = 778,757.25/x
  3. Step 3: Cross multiply
    357,891.75x = 778,757.25 × 778,757.25
  4. Step 4: Simplify right side
    357,891.75x = 606,462,854,427.56
  5. Step 5: Solve for x
    x = 606,462,854,427.56/357,891.75
  6. Step 6: Final answer
    x = 1,694,542.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.