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Finding the Third Proportional to 255,976 and 556,626

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Solution

The third proportional to 255,976 and 556,626 is: 1,210,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,976 : 556,626 = 556,626 : x
  2. Step 2: Convert to fraction form
    255,976/556,626 = 556,626/x
  3. Step 3: Cross multiply
    255,976x = 556,626 × 556,626
  4. Step 4: Simplify right side
    255,976x = 309,832,503,876
  5. Step 5: Solve for x
    x = 309,832,503,876/255,976
  6. Step 6: Final answer
    x = 1,210,396.69

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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.