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Finding the Third Proportional to 246,279 and 531,924

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Solution

The third proportional to 246,279 and 531,924 is: 1,148,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,279 : 531,924 = 531,924 : x
  2. Step 2: Convert to fraction form
    246,279/531,924 = 531,924/x
  3. Step 3: Cross multiply
    246,279x = 531,924 × 531,924
  4. Step 4: Simplify right side
    246,279x = 282,943,141,776
  5. Step 5: Solve for x
    x = 282,943,141,776/246,279
  6. Step 6: Final answer
    x = 1,148,872.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.