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Finding the Third Proportional to 252,407,362 and 387,728,609

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Solution

The third proportional to 252,407,362 and 387,728,609 is: 595,598,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,362 : 387,728,609 = 387,728,609 : x
  2. Step 2: Convert to fraction form
    252,407,362/387,728,609 = 387,728,609/x
  3. Step 3: Cross multiply
    252,407,362x = 387,728,609 × 387,728,609
  4. Step 4: Simplify right side
    252,407,362x = 150,333,474,237,074,880
  5. Step 5: Solve for x
    x = 150,333,474,237,074,880/252,407,362
  6. Step 6: Final answer
    x = 595,598,611.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.