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Finding the Third Proportional to 327,473 and 492,425

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Solution

The third proportional to 327,473 and 492,425 is: 740,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,473 : 492,425 = 492,425 : x
  2. Step 2: Convert to fraction form
    327,473/492,425 = 492,425/x
  3. Step 3: Cross multiply
    327,473x = 492,425 × 492,425
  4. Step 4: Simplify right side
    327,473x = 242,482,380,625
  5. Step 5: Solve for x
    x = 242,482,380,625/327,473
  6. Step 6: Final answer
    x = 740,465.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.