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Finding the Third Proportional to 294,150.38 and 414,222.75

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Solution

The third proportional to 294,150.38 and 414,222.75 is: 583,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,150.38 : 414,222.75 = 414,222.75 : x
  2. Step 2: Convert to fraction form
    294,150.38/414,222.75 = 414,222.75/x
  3. Step 3: Cross multiply
    294,150.38x = 414,222.75 × 414,222.75
  4. Step 4: Simplify right side
    294,150.38x = 171,580,486,617.56
  5. Step 5: Solve for x
    x = 171,580,486,617.56/294,150.38
  6. Step 6: Final answer
    x = 583,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.