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Finding the Third Proportional to 319,336 and 532,204

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Solution

The third proportional to 319,336 and 532,204 is: 886,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,336 : 532,204 = 532,204 : x
  2. Step 2: Convert to fraction form
    319,336/532,204 = 532,204/x
  3. Step 3: Cross multiply
    319,336x = 532,204 × 532,204
  4. Step 4: Simplify right side
    319,336x = 283,241,097,616
  5. Step 5: Solve for x
    x = 283,241,097,616/319,336
  6. Step 6: Final answer
    x = 886,968.89

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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.