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Finding the Third Proportional to 325,593,771 and 698,452,792

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Solution

The third proportional to 325,593,771 and 698,452,792 is: 1,498,297,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,593,771 : 698,452,792 = 698,452,792 : x
  2. Step 2: Convert to fraction form
    325,593,771/698,452,792 = 698,452,792/x
  3. Step 3: Cross multiply
    325,593,771x = 698,452,792 × 698,452,792
  4. Step 4: Simplify right side
    325,593,771x = 487,836,302,652,595,264
  5. Step 5: Solve for x
    x = 487,836,302,652,595,264/325,593,771
  6. Step 6: Final answer
    x = 1,498,297,406.47

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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.