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Finding the Third Proportional to 284,145.75 and 438,885

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Solution

The third proportional to 284,145.75 and 438,885 is: 677,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,145.75 : 438,885 = 438,885 : x
  2. Step 2: Convert to fraction form
    284,145.75/438,885 = 438,885/x
  3. Step 3: Cross multiply
    284,145.75x = 438,885 × 438,885
  4. Step 4: Simplify right side
    284,145.75x = 192,620,043,225
  5. Step 5: Solve for x
    x = 192,620,043,225/284,145.75
  6. Step 6: Final answer
    x = 677,891.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.