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Finding the Third Proportional to 305,535,793 and 625,190,867

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Solution

The third proportional to 305,535,793 and 625,190,867 is: 1,279,272,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,535,793 : 625,190,867 = 625,190,867 : x
  2. Step 2: Convert to fraction form
    305,535,793/625,190,867 = 625,190,867/x
  3. Step 3: Cross multiply
    305,535,793x = 625,190,867 × 625,190,867
  4. Step 4: Simplify right side
    305,535,793x = 390,863,620,180,211,712
  5. Step 5: Solve for x
    x = 390,863,620,180,211,712/305,535,793
  6. Step 6: Final answer
    x = 1,279,272,769.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.