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Finding the Third Proportional to 366,769,753 and 548,700,456

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Solution

The third proportional to 366,769,753 and 548,700,456 is: 820,875,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,769,753 : 548,700,456 = 548,700,456 : x
  2. Step 2: Convert to fraction form
    366,769,753/548,700,456 = 548,700,456/x
  3. Step 3: Cross multiply
    366,769,753x = 548,700,456 × 548,700,456
  4. Step 4: Simplify right side
    366,769,753x = 301,072,190,414,607,936
  5. Step 5: Solve for x
    x = 301,072,190,414,607,936/366,769,753
  6. Step 6: Final answer
    x = 820,875,189.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.