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Finding the Third Proportional to 321,164 and 699,522

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Solution

The third proportional to 321,164 and 699,522 is: 1,523,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,164 : 699,522 = 699,522 : x
  2. Step 2: Convert to fraction form
    321,164/699,522 = 699,522/x
  3. Step 3: Cross multiply
    321,164x = 699,522 × 699,522
  4. Step 4: Simplify right side
    321,164x = 489,331,028,484
  5. Step 5: Solve for x
    x = 489,331,028,484/321,164
  6. Step 6: Final answer
    x = 1,523,617.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.