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Finding the Third Proportional to 284,538 and 609,558

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Solution

The third proportional to 284,538 and 609,558 is: 1,305,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,538 : 609,558 = 609,558 : x
  2. Step 2: Convert to fraction form
    284,538/609,558 = 609,558/x
  3. Step 3: Cross multiply
    284,538x = 609,558 × 609,558
  4. Step 4: Simplify right side
    284,538x = 371,560,955,364
  5. Step 5: Solve for x
    x = 371,560,955,364/284,538
  6. Step 6: Final answer
    x = 1,305,839.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.