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Finding the Third Proportional to 246,122 and 579,496

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Solution

The third proportional to 246,122 and 579,496 is: 1,364,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,122 : 579,496 = 579,496 : x
  2. Step 2: Convert to fraction form
    246,122/579,496 = 579,496/x
  3. Step 3: Cross multiply
    246,122x = 579,496 × 579,496
  4. Step 4: Simplify right side
    246,122x = 335,815,614,016
  5. Step 5: Solve for x
    x = 335,815,614,016/246,122
  6. Step 6: Final answer
    x = 1,364,427.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.