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Finding the Third Proportional to 297,612.56 and 447,097.22

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Solution

The third proportional to 297,612.56 and 447,097.22 is: 671,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,612.56 : 447,097.22 = 447,097.22 : x
  2. Step 2: Convert to fraction form
    297,612.56/447,097.22 = 447,097.22/x
  3. Step 3: Cross multiply
    297,612.56x = 447,097.22 × 447,097.22
  4. Step 4: Simplify right side
    297,612.56x = 199,895,923,013.99
  5. Step 5: Solve for x
    x = 199,895,923,013.99/297,612.56
  6. Step 6: Final answer
    x = 671,664.94

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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.