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Finding the Third Proportional to 363,846 and 521,013

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Solution

The third proportional to 363,846 and 521,013 is: 746,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,846 : 521,013 = 521,013 : x
  2. Step 2: Convert to fraction form
    363,846/521,013 = 521,013/x
  3. Step 3: Cross multiply
    363,846x = 521,013 × 521,013
  4. Step 4: Simplify right side
    363,846x = 271,454,546,169
  5. Step 5: Solve for x
    x = 271,454,546,169/363,846
  6. Step 6: Final answer
    x = 746,069.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.