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Finding the Third Proportional to 262,002.75 and 395,493.75

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Solution

The third proportional to 262,002.75 and 395,493.75 is: 596,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,002.75 : 395,493.75 = 395,493.75 : x
  2. Step 2: Convert to fraction form
    262,002.75/395,493.75 = 395,493.75/x
  3. Step 3: Cross multiply
    262,002.75x = 395,493.75 × 395,493.75
  4. Step 4: Simplify right side
    262,002.75x = 156,415,306,289.06
  5. Step 5: Solve for x
    x = 156,415,306,289.06/262,002.75
  6. Step 6: Final answer
    x = 596,998.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.