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Finding the Third Proportional to 250,768,608 and 387,332,784

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Solution

The third proportional to 250,768,608 and 387,332,784 is: 598,267,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,768,608 : 387,332,784 = 387,332,784 : x
  2. Step 2: Convert to fraction form
    250,768,608/387,332,784 = 387,332,784/x
  3. Step 3: Cross multiply
    250,768,608x = 387,332,784 × 387,332,784
  4. Step 4: Simplify right side
    250,768,608x = 150,026,685,561,190,656
  5. Step 5: Solve for x
    x = 150,026,685,561,190,656/250,768,608
  6. Step 6: Final answer
    x = 598,267,409.78

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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.