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Finding the Third Proportional to 263,410,545.38 and 585,715,525.88

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Solution

The third proportional to 263,410,545.38 and 585,715,525.88 is: 1,302,387,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,410,545.38 : 585,715,525.88 = 585,715,525.88 : x
  2. Step 2: Convert to fraction form
    263,410,545.38/585,715,525.88 = 585,715,525.88/x
  3. Step 3: Cross multiply
    263,410,545.38x = 585,715,525.88 × 585,715,525.88
  4. Step 4: Simplify right side
    263,410,545.38x = 343,062,677,251,027,776
  5. Step 5: Solve for x
    x = 343,062,677,251,027,776/263,410,545.38
  6. Step 6: Final answer
    x = 1,302,387,786.95

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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.