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Finding the Third Proportional to 263,410,542 and 585,715,522

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Solution

The third proportional to 263,410,542 and 585,715,522 is: 1,302,387,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,410,542 : 585,715,522 = 585,715,522 : x
  2. Step 2: Convert to fraction form
    263,410,542/585,715,522 = 585,715,522/x
  3. Step 3: Cross multiply
    263,410,542x = 585,715,522 × 585,715,522
  4. Step 4: Simplify right side
    263,410,542x = 343,062,672,711,732,480
  5. Step 5: Solve for x
    x = 343,062,672,711,732,480/263,410,542
  6. Step 6: Final answer
    x = 1,302,387,786.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.