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Finding the Third Proportional to 327,822 and 494,040

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Solution

The third proportional to 327,822 and 494,040 is: 744,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,822 : 494,040 = 494,040 : x
  2. Step 2: Convert to fraction form
    327,822/494,040 = 494,040/x
  3. Step 3: Cross multiply
    327,822x = 494,040 × 494,040
  4. Step 4: Simplify right side
    327,822x = 244,075,521,600
  5. Step 5: Solve for x
    x = 244,075,521,600/327,822
  6. Step 6: Final answer
    x = 744,536.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.