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Finding the Third Proportional to 264,994,488 and 579,117,744

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Solution

The third proportional to 264,994,488 and 579,117,744 is: 1,265,601,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,994,488 : 579,117,744 = 579,117,744 : x
  2. Step 2: Convert to fraction form
    264,994,488/579,117,744 = 579,117,744/x
  3. Step 3: Cross multiply
    264,994,488x = 579,117,744 × 579,117,744
  4. Step 4: Simplify right side
    264,994,488x = 335,377,361,415,649,536
  5. Step 5: Solve for x
    x = 335,377,361,415,649,536/264,994,488
  6. Step 6: Final answer
    x = 1,265,601,273.24

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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.