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Finding the Third Proportional to 297,465.86 and 453,168.11

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Solution

The third proportional to 297,465.86 and 453,168.11 is: 690,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,465.86 : 453,168.11 = 453,168.11 : x
  2. Step 2: Convert to fraction form
    297,465.86/453,168.11 = 453,168.11/x
  3. Step 3: Cross multiply
    297,465.86x = 453,168.11 × 453,168.11
  4. Step 4: Simplify right side
    297,465.86x = 205,361,331,814.14
  5. Step 5: Solve for x
    x = 205,361,331,814.14/297,465.86
  6. Step 6: Final answer
    x = 690,369.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.