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Finding the Third Proportional to 319,675 and 532,716

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Solution

The third proportional to 319,675 and 532,716 is: 887,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,675 : 532,716 = 532,716 : x
  2. Step 2: Convert to fraction form
    319,675/532,716 = 532,716/x
  3. Step 3: Cross multiply
    319,675x = 532,716 × 532,716
  4. Step 4: Simplify right side
    319,675x = 283,786,336,656
  5. Step 5: Solve for x
    x = 283,786,336,656/319,675
  6. Step 6: Final answer
    x = 887,733.91

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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.