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Finding the Third Proportional to 296,622 and 444,214.13

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Solution

The third proportional to 296,622 and 444,214.13 is: 665,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,622 : 444,214.13 = 444,214.13 : x
  2. Step 2: Convert to fraction form
    296,622/444,214.13 = 444,214.13/x
  3. Step 3: Cross multiply
    296,622x = 444,214.13 × 444,214.13
  4. Step 4: Simplify right side
    296,622x = 197,326,188,849.52
  5. Step 5: Solve for x
    x = 197,326,188,849.52/296,622
  6. Step 6: Final answer
    x = 665,244.62

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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.