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Finding the Third Proportional to 350,057.25 and 540,633.38

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Solution

The third proportional to 350,057.25 and 540,633.38 is: 834,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,057.25 : 540,633.38 = 540,633.38 : x
  2. Step 2: Convert to fraction form
    350,057.25/540,633.38 = 540,633.38/x
  3. Step 3: Cross multiply
    350,057.25x = 540,633.38 × 540,633.38
  4. Step 4: Simplify right side
    350,057.25x = 292,284,446,163.89
  5. Step 5: Solve for x
    x = 292,284,446,163.89/350,057.25
  6. Step 6: Final answer
    x = 834,961.84

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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.