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Finding the Third Proportional to 294,289.50 and 442,334.25

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Solution

The third proportional to 294,289.50 and 442,334.25 is: 664,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,289.50 : 442,334.25 = 442,334.25 : x
  2. Step 2: Convert to fraction form
    294,289.50/442,334.25 = 442,334.25/x
  3. Step 3: Cross multiply
    294,289.50x = 442,334.25 × 442,334.25
  4. Step 4: Simplify right side
    294,289.50x = 195,659,588,723.06
  5. Step 5: Solve for x
    x = 195,659,588,723.06/294,289.50
  6. Step 6: Final answer
    x = 664,854.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.