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Finding the Third Proportional to 263,589,346 and 548,995,821

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Solution

The third proportional to 263,589,346 and 548,995,821 is: 1,143,431,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,589,346 : 548,995,821 = 548,995,821 : x
  2. Step 2: Convert to fraction form
    263,589,346/548,995,821 = 548,995,821/x
  3. Step 3: Cross multiply
    263,589,346x = 548,995,821 × 548,995,821
  4. Step 4: Simplify right side
    263,589,346x = 301,396,411,475,464,064
  5. Step 5: Solve for x
    x = 301,396,411,475,464,064/263,589,346
  6. Step 6: Final answer
    x = 1,143,431,690.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.