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Finding the Third Proportional to 327,232 and 447,791

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Solution

The third proportional to 327,232 and 447,791 is: 612,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,232 : 447,791 = 447,791 : x
  2. Step 2: Convert to fraction form
    327,232/447,791 = 447,791/x
  3. Step 3: Cross multiply
    327,232x = 447,791 × 447,791
  4. Step 4: Simplify right side
    327,232x = 200,516,779,681
  5. Step 5: Solve for x
    x = 200,516,779,681/327,232
  6. Step 6: Final answer
    x = 612,766.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.