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Finding the Third Proportional to 368,765 and 567,626

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Solution

The third proportional to 368,765 and 567,626 is: 873,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,765 : 567,626 = 567,626 : x
  2. Step 2: Convert to fraction form
    368,765/567,626 = 567,626/x
  3. Step 3: Cross multiply
    368,765x = 567,626 × 567,626
  4. Step 4: Simplify right side
    368,765x = 322,199,275,876
  5. Step 5: Solve for x
    x = 322,199,275,876/368,765
  6. Step 6: Final answer
    x = 873,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.