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Finding the Third Proportional to 331,310,678 and 720,798,464

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Solution

The third proportional to 331,310,678 and 720,798,464 is: 1,568,166,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,310,678 : 720,798,464 = 720,798,464 : x
  2. Step 2: Convert to fraction form
    331,310,678/720,798,464 = 720,798,464/x
  3. Step 3: Cross multiply
    331,310,678x = 720,798,464 × 720,798,464
  4. Step 4: Simplify right side
    331,310,678x = 519,550,425,704,759,296
  5. Step 5: Solve for x
    x = 519,550,425,704,759,296/331,310,678
  6. Step 6: Final answer
    x = 1,568,166,860.30

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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.