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Finding the Third Proportional to 284,293.13 and 415,320.75

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Solution

The third proportional to 284,293.13 and 415,320.75 is: 606,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,293.13 : 415,320.75 = 415,320.75 : x
  2. Step 2: Convert to fraction form
    284,293.13/415,320.75 = 415,320.75/x
  3. Step 3: Cross multiply
    284,293.13x = 415,320.75 × 415,320.75
  4. Step 4: Simplify right side
    284,293.13x = 172,491,325,380.56
  5. Step 5: Solve for x
    x = 172,491,325,380.56/284,293.13
  6. Step 6: Final answer
    x = 606,737.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.