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Finding the Third Proportional to 323,427,535 and 703,522,920

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Solution

The third proportional to 323,427,535 and 703,522,920 is: 1,530,310,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,427,535 : 703,522,920 = 703,522,920 : x
  2. Step 2: Convert to fraction form
    323,427,535/703,522,920 = 703,522,920/x
  3. Step 3: Cross multiply
    323,427,535x = 703,522,920 × 703,522,920
  4. Step 4: Simplify right side
    323,427,535x = 494,944,498,965,326,400
  5. Step 5: Solve for x
    x = 494,944,498,965,326,400/323,427,535
  6. Step 6: Final answer
    x = 1,530,310,333.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.