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Finding the Third Proportional to 297,121.50 and 447,105

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Solution

The third proportional to 297,121.50 and 447,105 is: 672,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,121.50 : 447,105 = 447,105 : x
  2. Step 2: Convert to fraction form
    297,121.50/447,105 = 447,105/x
  3. Step 3: Cross multiply
    297,121.50x = 447,105 × 447,105
  4. Step 4: Simplify right side
    297,121.50x = 199,902,881,025
  5. Step 5: Solve for x
    x = 199,902,881,025/297,121.50
  6. Step 6: Final answer
    x = 672,798.44

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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.