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Finding the Third Proportional to 255,375 and 554,976

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Solution

The third proportional to 255,375 and 554,976 is: 1,206,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,375 : 554,976 = 554,976 : x
  2. Step 2: Convert to fraction form
    255,375/554,976 = 554,976/x
  3. Step 3: Cross multiply
    255,375x = 554,976 × 554,976
  4. Step 4: Simplify right side
    255,375x = 307,998,360,576
  5. Step 5: Solve for x
    x = 307,998,360,576/255,375
  6. Step 6: Final answer
    x = 1,206,063.09

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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.