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Finding the Third Proportional to 259,767 and 539,946

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Solution

The third proportional to 259,767 and 539,946 is: 1,122,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,767 : 539,946 = 539,946 : x
  2. Step 2: Convert to fraction form
    259,767/539,946 = 539,946/x
  3. Step 3: Cross multiply
    259,767x = 539,946 × 539,946
  4. Step 4: Simplify right side
    259,767x = 291,541,682,916
  5. Step 5: Solve for x
    x = 291,541,682,916/259,767
  6. Step 6: Final answer
    x = 1,122,319.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.