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Finding the Third Proportional to 327,465 and 492,412

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Solution

The third proportional to 327,465 and 492,412 is: 740,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,465 : 492,412 = 492,412 : x
  2. Step 2: Convert to fraction form
    327,465/492,412 = 492,412/x
  3. Step 3: Cross multiply
    327,465x = 492,412 × 492,412
  4. Step 4: Simplify right side
    327,465x = 242,469,577,744
  5. Step 5: Solve for x
    x = 242,469,577,744/327,465
  6. Step 6: Final answer
    x = 740,444.25

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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.