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Finding the Third Proportional to 363,828 and 765,355

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Solution

The third proportional to 363,828 and 765,355 is: 1,610,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,828 : 765,355 = 765,355 : x
  2. Step 2: Convert to fraction form
    363,828/765,355 = 765,355/x
  3. Step 3: Cross multiply
    363,828x = 765,355 × 765,355
  4. Step 4: Simplify right side
    363,828x = 585,768,276,025
  5. Step 5: Solve for x
    x = 585,768,276,025/363,828
  6. Step 6: Final answer
    x = 1,610,014.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.