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Finding the Third Proportional to 258,393,852 and 567,008,766

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Solution

The third proportional to 258,393,852 and 567,008,766 is: 1,244,220,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,393,852 : 567,008,766 = 567,008,766 : x
  2. Step 2: Convert to fraction form
    258,393,852/567,008,766 = 567,008,766/x
  3. Step 3: Cross multiply
    258,393,852x = 567,008,766 × 567,008,766
  4. Step 4: Simplify right side
    258,393,852x = 321,498,940,720,842,752
  5. Step 5: Solve for x
    x = 321,498,940,720,842,752/258,393,852
  6. Step 6: Final answer
    x = 1,244,220,550.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.