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Finding the Third Proportional to 322,904 and 443,259

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Solution

The third proportional to 322,904 and 443,259 is: 608,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,904 : 443,259 = 443,259 : x
  2. Step 2: Convert to fraction form
    322,904/443,259 = 443,259/x
  3. Step 3: Cross multiply
    322,904x = 443,259 × 443,259
  4. Step 4: Simplify right side
    322,904x = 196,478,541,081
  5. Step 5: Solve for x
    x = 196,478,541,081/322,904
  6. Step 6: Final answer
    x = 608,473.54

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