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Finding the Third Proportional to 321,211 and 691,754

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Solution

The third proportional to 321,211 and 691,754 is: 1,489,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,211 : 691,754 = 691,754 : x
  2. Step 2: Convert to fraction form
    321,211/691,754 = 691,754/x
  3. Step 3: Cross multiply
    321,211x = 691,754 × 691,754
  4. Step 4: Simplify right side
    321,211x = 478,523,596,516
  5. Step 5: Solve for x
    x = 478,523,596,516/321,211
  6. Step 6: Final answer
    x = 1,489,748.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.