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Finding the Third Proportional to 354,615.75 and 532,289.25

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Solution

The third proportional to 354,615.75 and 532,289.25 is: 798,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,615.75 : 532,289.25 = 532,289.25 : x
  2. Step 2: Convert to fraction form
    354,615.75/532,289.25 = 532,289.25/x
  3. Step 3: Cross multiply
    354,615.75x = 532,289.25 × 532,289.25
  4. Step 4: Simplify right side
    354,615.75x = 283,331,845,665.56
  5. Step 5: Solve for x
    x = 283,331,845,665.56/354,615.75
  6. Step 6: Final answer
    x = 798,982.69

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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.