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Finding the Third Proportional to 327,971.25 and 492,969.38

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Solution

The third proportional to 327,971.25 and 492,969.38 is: 740,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,971.25 : 492,969.38 = 492,969.38 : x
  2. Step 2: Convert to fraction form
    327,971.25/492,969.38 = 492,969.38/x
  3. Step 3: Cross multiply
    327,971.25x = 492,969.38 × 492,969.38
  4. Step 4: Simplify right side
    327,971.25x = 243,018,804,687.89
  5. Step 5: Solve for x
    x = 243,018,804,687.89/327,971.25
  6. Step 6: Final answer
    x = 740,975.94

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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.