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Finding the Third Proportional to 327,024 and 492,156

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Solution

The third proportional to 327,024 and 492,156 is: 740,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,024 : 492,156 = 492,156 : x
  2. Step 2: Convert to fraction form
    327,024/492,156 = 492,156/x
  3. Step 3: Cross multiply
    327,024x = 492,156 × 492,156
  4. Step 4: Simplify right side
    327,024x = 242,217,528,336
  5. Step 5: Solve for x
    x = 242,217,528,336/327,024
  6. Step 6: Final answer
    x = 740,672.03

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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.