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Finding the Third Proportional to 297,604.13 and 447,084.56

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Solution

The third proportional to 297,604.13 and 447,084.56 is: 671,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,604.13 : 447,084.56 = 447,084.56 : x
  2. Step 2: Convert to fraction form
    297,604.13/447,084.56 = 447,084.56/x
  3. Step 3: Cross multiply
    297,604.13x = 447,084.56 × 447,084.56
  4. Step 4: Simplify right side
    297,604.13x = 199,884,606,025.82
  5. Step 5: Solve for x
    x = 199,884,606,025.82/297,604.13
  6. Step 6: Final answer
    x = 671,645.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.