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Finding the Third Proportional to 284,127.75 and 441,132.75

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Solution

The third proportional to 284,127.75 and 441,132.75 is: 684,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,127.75 : 441,132.75 = 441,132.75 : x
  2. Step 2: Convert to fraction form
    284,127.75/441,132.75 = 441,132.75/x
  3. Step 3: Cross multiply
    284,127.75x = 441,132.75 × 441,132.75
  4. Step 4: Simplify right side
    284,127.75x = 194,598,103,122.56
  5. Step 5: Solve for x
    x = 194,598,103,122.56/284,127.75
  6. Step 6: Final answer
    x = 684,896.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.