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Finding the Third Proportional to 322,906 and 443,262

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Solution

The third proportional to 322,906 and 443,262 is: 608,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,906 : 443,262 = 443,262 : x
  2. Step 2: Convert to fraction form
    322,906/443,262 = 443,262/x
  3. Step 3: Cross multiply
    322,906x = 443,262 × 443,262
  4. Step 4: Simplify right side
    322,906x = 196,481,200,644
  5. Step 5: Solve for x
    x = 196,481,200,644/322,906
  6. Step 6: Final answer
    x = 608,478.01

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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.