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Finding the Third Proportional to 319,322 and 532,180

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Solution

The third proportional to 319,322 and 532,180 is: 886,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,322 : 532,180 = 532,180 : x
  2. Step 2: Convert to fraction form
    319,322/532,180 = 532,180/x
  3. Step 3: Cross multiply
    319,322x = 532,180 × 532,180
  4. Step 4: Simplify right side
    319,322x = 283,215,552,400
  5. Step 5: Solve for x
    x = 283,215,552,400/319,322
  6. Step 6: Final answer
    x = 886,927.78

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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.