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Finding the Third Proportional to 270,772,456 and 412,505,836

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Solution

The third proportional to 270,772,456 and 412,505,836 is: 628,428,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772,456 : 412,505,836 = 412,505,836 : x
  2. Step 2: Convert to fraction form
    270,772,456/412,505,836 = 412,505,836/x
  3. Step 3: Cross multiply
    270,772,456x = 412,505,836 × 412,505,836
  4. Step 4: Simplify right side
    270,772,456x = 170,161,064,734,058,880
  5. Step 5: Solve for x
    x = 170,161,064,734,058,880/270,772,456
  6. Step 6: Final answer
    x = 628,428,265.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.