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Finding the Third Proportional to 350,110.69 and 540,708.75

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Solution

The third proportional to 350,110.69 and 540,708.75 is: 835,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,110.69 : 540,708.75 = 540,708.75 : x
  2. Step 2: Convert to fraction form
    350,110.69/540,708.75 = 540,708.75/x
  3. Step 3: Cross multiply
    350,110.69x = 540,708.75 × 540,708.75
  4. Step 4: Simplify right side
    350,110.69x = 292,365,952,326.56
  5. Step 5: Solve for x
    x = 292,365,952,326.56/350,110.69
  6. Step 6: Final answer
    x = 835,067.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.