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Finding the Third Proportional to 246,251 and 539,211

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Solution

The third proportional to 246,251 and 539,211 is: 1,180,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,251 : 539,211 = 539,211 : x
  2. Step 2: Convert to fraction form
    246,251/539,211 = 539,211/x
  3. Step 3: Cross multiply
    246,251x = 539,211 × 539,211
  4. Step 4: Simplify right side
    246,251x = 290,748,502,521
  5. Step 5: Solve for x
    x = 290,748,502,521/246,251
  6. Step 6: Final answer
    x = 1,180,699.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.