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Finding the Third Proportional to 297,601.75 and 447,081

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Solution

The third proportional to 297,601.75 and 447,081 is: 671,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,601.75 : 447,081 = 447,081 : x
  2. Step 2: Convert to fraction form
    297,601.75/447,081 = 447,081/x
  3. Step 3: Cross multiply
    297,601.75x = 447,081 × 447,081
  4. Step 4: Simplify right side
    297,601.75x = 199,881,420,561
  5. Step 5: Solve for x
    x = 199,881,420,561/297,601.75
  6. Step 6: Final answer
    x = 671,640.61

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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.