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Finding the Third Proportional to 319,310 and 532,162

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Solution

The third proportional to 319,310 and 532,162 is: 886,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,310 : 532,162 = 532,162 : x
  2. Step 2: Convert to fraction form
    319,310/532,162 = 532,162/x
  3. Step 3: Cross multiply
    319,310x = 532,162 × 532,162
  4. Step 4: Simplify right side
    319,310x = 283,196,394,244
  5. Step 5: Solve for x
    x = 283,196,394,244/319,310
  6. Step 6: Final answer
    x = 886,901.11

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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.