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Finding the Third Proportional to 297,096.19 and 444,502.69

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Solution

The third proportional to 297,096.19 and 444,502.69 is: 665,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,096.19 : 444,502.69 = 444,502.69 : x
  2. Step 2: Convert to fraction form
    297,096.19/444,502.69 = 444,502.69/x
  3. Step 3: Cross multiply
    297,096.19x = 444,502.69 × 444,502.69
  4. Step 4: Simplify right side
    297,096.19x = 197,582,639,194.72
  5. Step 5: Solve for x
    x = 197,582,639,194.72/297,096.19
  6. Step 6: Final answer
    x = 665,046.03

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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.