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Finding the Third Proportional to 321,572 and 441,351

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Solution

The third proportional to 321,572 and 441,351 is: 605,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,572 : 441,351 = 441,351 : x
  2. Step 2: Convert to fraction form
    321,572/441,351 = 441,351/x
  3. Step 3: Cross multiply
    321,572x = 441,351 × 441,351
  4. Step 4: Simplify right side
    321,572x = 194,790,705,201
  5. Step 5: Solve for x
    x = 194,790,705,201/321,572
  6. Step 6: Final answer
    x = 605,745.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.