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Finding the Third Proportional to 327,084 and 492,252

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Solution

The third proportional to 327,084 and 492,252 is: 740,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,084 : 492,252 = 492,252 : x
  2. Step 2: Convert to fraction form
    327,084/492,252 = 492,252/x
  3. Step 3: Cross multiply
    327,084x = 492,252 × 492,252
  4. Step 4: Simplify right side
    327,084x = 242,312,031,504
  5. Step 5: Solve for x
    x = 242,312,031,504/327,084
  6. Step 6: Final answer
    x = 740,825.08

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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.