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Finding the Third Proportional to 319,676 and 532,718

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Solution

The third proportional to 319,676 and 532,718 is: 887,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,676 : 532,718 = 532,718 : x
  2. Step 2: Convert to fraction form
    319,676/532,718 = 532,718/x
  3. Step 3: Cross multiply
    319,676x = 532,718 × 532,718
  4. Step 4: Simplify right side
    319,676x = 283,788,467,524
  5. Step 5: Solve for x
    x = 283,788,467,524/319,676
  6. Step 6: Final answer
    x = 887,737.80

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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.