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Finding the Third Proportional to 263,746.13 and 577,793.25

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Solution

The third proportional to 263,746.13 and 577,793.25 is: 1,265,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,746.13 : 577,793.25 = 577,793.25 : x
  2. Step 2: Convert to fraction form
    263,746.13/577,793.25 = 577,793.25/x
  3. Step 3: Cross multiply
    263,746.13x = 577,793.25 × 577,793.25
  4. Step 4: Simplify right side
    263,746.13x = 333,845,039,745.56
  5. Step 5: Solve for x
    x = 333,845,039,745.56/263,746.13
  6. Step 6: Final answer
    x = 1,265,781.78

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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.