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Finding the Third Proportional to 296,788 and 445,182

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Solution

The third proportional to 296,788 and 445,182 is: 667,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,788 : 445,182 = 445,182 : x
  2. Step 2: Convert to fraction form
    296,788/445,182 = 445,182/x
  3. Step 3: Cross multiply
    296,788x = 445,182 × 445,182
  4. Step 4: Simplify right side
    296,788x = 198,187,013,124
  5. Step 5: Solve for x
    x = 198,187,013,124/296,788
  6. Step 6: Final answer
    x = 667,773

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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.