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Finding the Third Proportional to 268,529,704 and 414,656,843

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Solution

The third proportional to 268,529,704 and 414,656,843 is: 640,302,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529,704 : 414,656,843 = 414,656,843 : x
  2. Step 2: Convert to fraction form
    268,529,704/414,656,843 = 414,656,843/x
  3. Step 3: Cross multiply
    268,529,704x = 414,656,843 × 414,656,843
  4. Step 4: Simplify right side
    268,529,704x = 171,940,297,446,726,656
  5. Step 5: Solve for x
    x = 171,940,297,446,726,656/268,529,704
  6. Step 6: Final answer
    x = 640,302,710.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.