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Finding the Third Proportional to 218,415.38 and 477,240.75

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Solution

The third proportional to 218,415.38 and 477,240.75 is: 1,042,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.38 : 477,240.75 = 477,240.75 : x
  2. Step 2: Convert to fraction form
    218,415.38/477,240.75 = 477,240.75/x
  3. Step 3: Cross multiply
    218,415.38x = 477,240.75 × 477,240.75
  4. Step 4: Simplify right side
    218,415.38x = 227,758,733,460.56
  5. Step 5: Solve for x
    x = 227,758,733,460.56/218,415.38
  6. Step 6: Final answer
    x = 1,042,777.93

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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.