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Finding the Third Proportional to 319,673 and 532,713

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Solution

The third proportional to 319,673 and 532,713 is: 887,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,673 : 532,713 = 532,713 : x
  2. Step 2: Convert to fraction form
    319,673/532,713 = 532,713/x
  3. Step 3: Cross multiply
    319,673x = 532,713 × 532,713
  4. Step 4: Simplify right side
    319,673x = 283,783,140,369
  5. Step 5: Solve for x
    x = 283,783,140,369/319,673
  6. Step 6: Final answer
    x = 887,729.46

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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.