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Finding the Third Proportional to 327,036 and 439,494

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Solution

The third proportional to 327,036 and 439,494 is: 590,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,036 : 439,494 = 439,494 : x
  2. Step 2: Convert to fraction form
    327,036/439,494 = 439,494/x
  3. Step 3: Cross multiply
    327,036x = 439,494 × 439,494
  4. Step 4: Simplify right side
    327,036x = 193,154,976,036
  5. Step 5: Solve for x
    x = 193,154,976,036/327,036
  6. Step 6: Final answer
    x = 590,622.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.