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Finding the Third Proportional to 310,297,817.25 and 667,672,875

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Solution

The third proportional to 310,297,817.25 and 667,672,875 is: 1,436,642,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,297,817.25 : 667,672,875 = 667,672,875 : x
  2. Step 2: Convert to fraction form
    310,297,817.25/667,672,875 = 667,672,875/x
  3. Step 3: Cross multiply
    310,297,817.25x = 667,672,875 × 667,672,875
  4. Step 4: Simplify right side
    310,297,817.25x = 445,787,068,010,765,632
  5. Step 5: Solve for x
    x = 445,787,068,010,765,632/310,297,817.25
  6. Step 6: Final answer
    x = 1,436,642,616.31

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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.