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Finding the Third Proportional to 327,420 and 492,348

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Solution

The third proportional to 327,420 and 492,348 is: 740,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,420 : 492,348 = 492,348 : x
  2. Step 2: Convert to fraction form
    327,420/492,348 = 492,348/x
  3. Step 3: Cross multiply
    327,420x = 492,348 × 492,348
  4. Step 4: Simplify right side
    327,420x = 242,406,553,104
  5. Step 5: Solve for x
    x = 242,406,553,104/327,420
  6. Step 6: Final answer
    x = 740,353.53

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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.