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Finding the Third Proportional to 321,924 and 481,185

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Solution

The third proportional to 321,924 and 481,185 is: 719,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,924 : 481,185 = 481,185 : x
  2. Step 2: Convert to fraction form
    321,924/481,185 = 481,185/x
  3. Step 3: Cross multiply
    321,924x = 481,185 × 481,185
  4. Step 4: Simplify right side
    321,924x = 231,539,004,225
  5. Step 5: Solve for x
    x = 231,539,004,225/321,924
  6. Step 6: Final answer
    x = 719,234.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.