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Finding the Third Proportional to 327,150 and 492,363

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Solution

The third proportional to 327,150 and 492,363 is: 741,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,150 : 492,363 = 492,363 : x
  2. Step 2: Convert to fraction form
    327,150/492,363 = 492,363/x
  3. Step 3: Cross multiply
    327,150x = 492,363 × 492,363
  4. Step 4: Simplify right side
    327,150x = 242,421,323,769
  5. Step 5: Solve for x
    x = 242,421,323,769/327,150
  6. Step 6: Final answer
    x = 741,009.70

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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.