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Finding the Third Proportional to 294,153.75 and 414,227.25

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Solution

The third proportional to 294,153.75 and 414,227.25 is: 583,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,153.75 : 414,227.25 = 414,227.25 : x
  2. Step 2: Convert to fraction form
    294,153.75/414,227.25 = 414,227.25/x
  3. Step 3: Cross multiply
    294,153.75x = 414,227.25 × 414,227.25
  4. Step 4: Simplify right side
    294,153.75x = 171,584,214,642.56
  5. Step 5: Solve for x
    x = 171,584,214,642.56/294,153.75
  6. Step 6: Final answer
    x = 583,314.73

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