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Finding the Third Proportional to 322,886 and 443,235

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Solution

The third proportional to 322,886 and 443,235 is: 608,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,886 : 443,235 = 443,235 : x
  2. Step 2: Convert to fraction form
    322,886/443,235 = 443,235/x
  3. Step 3: Cross multiply
    322,886x = 443,235 × 443,235
  4. Step 4: Simplify right side
    322,886x = 196,457,265,225
  5. Step 5: Solve for x
    x = 196,457,265,225/322,886
  6. Step 6: Final answer
    x = 608,441.57

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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.