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Finding the Third Proportional to 263,398,401 and 567,252,738

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Solution

The third proportional to 263,398,401 and 567,252,738 is: 1,221,631,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,398,401 : 567,252,738 = 567,252,738 : x
  2. Step 2: Convert to fraction form
    263,398,401/567,252,738 = 567,252,738/x
  3. Step 3: Cross multiply
    263,398,401x = 567,252,738 × 567,252,738
  4. Step 4: Simplify right side
    263,398,401x = 321,775,668,768,496,640
  5. Step 5: Solve for x
    x = 321,775,668,768,496,640/263,398,401
  6. Step 6: Final answer
    x = 1,221,631,063.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.