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Finding the Third Proportional to 319,311 and 532,163.25

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Solution

The third proportional to 319,311 and 532,163.25 is: 886,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311 : 532,163.25 = 532,163.25 : x
  2. Step 2: Convert to fraction form
    319,311/532,163.25 = 532,163.25/x
  3. Step 3: Cross multiply
    319,311x = 532,163.25 × 532,163.25
  4. Step 4: Simplify right side
    319,311x = 283,197,724,650.56
  5. Step 5: Solve for x
    x = 283,197,724,650.56/319,311
  6. Step 6: Final answer
    x = 886,902.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.