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Finding the Third Proportional to 325,865 and 681,521

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Solution

The third proportional to 325,865 and 681,521 is: 1,425,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,865 : 681,521 = 681,521 : x
  2. Step 2: Convert to fraction form
    325,865/681,521 = 681,521/x
  3. Step 3: Cross multiply
    325,865x = 681,521 × 681,521
  4. Step 4: Simplify right side
    325,865x = 464,470,873,441
  5. Step 5: Solve for x
    x = 464,470,873,441/325,865
  6. Step 6: Final answer
    x = 1,425,347.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.