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Finding the Third Proportional to 284,508 and 613,125

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Solution

The third proportional to 284,508 and 613,125 is: 1,321,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,508 : 613,125 = 613,125 : x
  2. Step 2: Convert to fraction form
    284,508/613,125 = 613,125/x
  3. Step 3: Cross multiply
    284,508x = 613,125 × 613,125
  4. Step 4: Simplify right side
    284,508x = 375,922,265,625
  5. Step 5: Solve for x
    x = 375,922,265,625/284,508
  6. Step 6: Final answer
    x = 1,321,306.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.