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Finding the Third Proportional to 284,979.94 and 444,723.75

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Solution

The third proportional to 284,979.94 and 444,723.75 is: 694,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,979.94 : 444,723.75 = 444,723.75 : x
  2. Step 2: Convert to fraction form
    284,979.94/444,723.75 = 444,723.75/x
  3. Step 3: Cross multiply
    284,979.94x = 444,723.75 × 444,723.75
  4. Step 4: Simplify right side
    284,979.94x = 197,779,213,814.06
  5. Step 5: Solve for x
    x = 197,779,213,814.06/284,979.94
  6. Step 6: Final answer
    x = 694,011.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.