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Finding the Third Proportional to 327,141 and 492,349

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Solution

The third proportional to 327,141 and 492,349 is: 740,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,141 : 492,349 = 492,349 : x
  2. Step 2: Convert to fraction form
    327,141/492,349 = 492,349/x
  3. Step 3: Cross multiply
    327,141x = 492,349 × 492,349
  4. Step 4: Simplify right side
    327,141x = 242,407,537,801
  5. Step 5: Solve for x
    x = 242,407,537,801/327,141
  6. Step 6: Final answer
    x = 740,987.95

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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.