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Finding the Third Proportional to 327,415 and 492,342

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Solution

The third proportional to 327,415 and 492,342 is: 740,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,415 : 492,342 = 492,342 : x
  2. Step 2: Convert to fraction form
    327,415/492,342 = 492,342/x
  3. Step 3: Cross multiply
    327,415x = 492,342 × 492,342
  4. Step 4: Simplify right side
    327,415x = 242,400,644,964
  5. Step 5: Solve for x
    x = 242,400,644,964/327,415
  6. Step 6: Final answer
    x = 740,346.79

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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.