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Finding the Third Proportional to 322,903 and 443,260

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Solution

The third proportional to 322,903 and 443,260 is: 608,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,903 : 443,260 = 443,260 : x
  2. Step 2: Convert to fraction form
    322,903/443,260 = 443,260/x
  3. Step 3: Cross multiply
    322,903x = 443,260 × 443,260
  4. Step 4: Simplify right side
    322,903x = 196,479,427,600
  5. Step 5: Solve for x
    x = 196,479,427,600/322,903
  6. Step 6: Final answer
    x = 608,478.17

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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.