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Finding the Third Proportional to 288,563,025 and 605,469,567

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Solution

The third proportional to 288,563,025 and 605,469,567 is: 1,270,410,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563,025 : 605,469,567 = 605,469,567 : x
  2. Step 2: Convert to fraction form
    288,563,025/605,469,567 = 605,469,567/x
  3. Step 3: Cross multiply
    288,563,025x = 605,469,567 × 605,469,567
  4. Step 4: Simplify right side
    288,563,025x = 366,593,396,563,167,488
  5. Step 5: Solve for x
    x = 366,593,396,563,167,488/288,563,025
  6. Step 6: Final answer
    x = 1,270,410,152.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.