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Finding the Third Proportional to 244,804 and 534,536

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Solution

The third proportional to 244,804 and 534,536 is: 1,167,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,804 : 534,536 = 534,536 : x
  2. Step 2: Convert to fraction form
    244,804/534,536 = 534,536/x
  3. Step 3: Cross multiply
    244,804x = 534,536 × 534,536
  4. Step 4: Simplify right side
    244,804x = 285,728,735,296
  5. Step 5: Solve for x
    x = 285,728,735,296/244,804
  6. Step 6: Final answer
    x = 1,167,173.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.