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Finding the Third Proportional to 279,425.50 and 442,652

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Solution

The third proportional to 279,425.50 and 442,652 is: 701,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,425.50 : 442,652 = 442,652 : x
  2. Step 2: Convert to fraction form
    279,425.50/442,652 = 442,652/x
  3. Step 3: Cross multiply
    279,425.50x = 442,652 × 442,652
  4. Step 4: Simplify right side
    279,425.50x = 195,940,793,104
  5. Step 5: Solve for x
    x = 195,940,793,104/279,425.50
  6. Step 6: Final answer
    x = 701,227.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.