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Finding the Third Proportional to 325,593,774 and 698,452,798

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Solution

The third proportional to 325,593,774 and 698,452,798 is: 1,498,297,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,593,774 : 698,452,798 = 698,452,798 : x
  2. Step 2: Convert to fraction form
    325,593,774/698,452,798 = 698,452,798/x
  3. Step 3: Cross multiply
    325,593,774x = 698,452,798 × 698,452,798
  4. Step 4: Simplify right side
    325,593,774x = 487,836,311,034,028,800
  5. Step 5: Solve for x
    x = 487,836,311,034,028,800/325,593,774
  6. Step 6: Final answer
    x = 1,498,297,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.