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Finding the Third Proportional to 331,310,566 and 720,798,240

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Solution

The third proportional to 331,310,566 and 720,798,240 is: 1,568,166,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,310,566 : 720,798,240 = 720,798,240 : x
  2. Step 2: Convert to fraction form
    331,310,566/720,798,240 = 720,798,240/x
  3. Step 3: Cross multiply
    331,310,566x = 720,798,240 × 720,798,240
  4. Step 4: Simplify right side
    331,310,566x = 519,550,102,787,097,600
  5. Step 5: Solve for x
    x = 519,550,102,787,097,600/331,310,566
  6. Step 6: Final answer
    x = 1,568,166,415.76

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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.