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Finding the Third Proportional to 327,476 and 492,429

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Solution

The third proportional to 327,476 and 492,429 is: 740,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,476 : 492,429 = 492,429 : x
  2. Step 2: Convert to fraction form
    327,476/492,429 = 492,429/x
  3. Step 3: Cross multiply
    327,476x = 492,429 × 492,429
  4. Step 4: Simplify right side
    327,476x = 242,486,320,041
  5. Step 5: Solve for x
    x = 242,486,320,041/327,476
  6. Step 6: Final answer
    x = 740,470.51

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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.