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Finding the Third Proportional to 255,180 and 554,694

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Solution

The third proportional to 255,180 and 554,694 is: 1,205,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,180 : 554,694 = 554,694 : x
  2. Step 2: Convert to fraction form
    255,180/554,694 = 554,694/x
  3. Step 3: Cross multiply
    255,180x = 554,694 × 554,694
  4. Step 4: Simplify right side
    255,180x = 307,685,433,636
  5. Step 5: Solve for x
    x = 307,685,433,636/255,180
  6. Step 6: Final answer
    x = 1,205,758.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.