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Finding the Third Proportional to 293,756 and 439,519

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Solution

The third proportional to 293,756 and 439,519 is: 657,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,756 : 439,519 = 439,519 : x
  2. Step 2: Convert to fraction form
    293,756/439,519 = 439,519/x
  3. Step 3: Cross multiply
    293,756x = 439,519 × 439,519
  4. Step 4: Simplify right side
    293,756x = 193,176,951,361
  5. Step 5: Solve for x
    x = 193,176,951,361/293,756
  6. Step 6: Final answer
    x = 657,610.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.