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Finding the Third Proportional to 300,141,920 and 650,378,588

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Solution

The third proportional to 300,141,920 and 650,378,588 is: 1,409,307,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,141,920 : 650,378,588 = 650,378,588 : x
  2. Step 2: Convert to fraction form
    300,141,920/650,378,588 = 650,378,588/x
  3. Step 3: Cross multiply
    300,141,920x = 650,378,588 × 650,378,588
  4. Step 4: Simplify right side
    300,141,920x = 422,992,307,728,873,728
  5. Step 5: Solve for x
    x = 422,992,307,728,873,728/300,141,920
  6. Step 6: Final answer
    x = 1,409,307,662.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.