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Finding the Third Proportional to 441,885,039.75 and 662,827,560.75

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Solution

The third proportional to 441,885,039.75 and 662,827,560.75 is: 994,241,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,885,039.75 : 662,827,560.75 = 662,827,560.75 : x
  2. Step 2: Convert to fraction form
    441,885,039.75/662,827,560.75 = 662,827,560.75/x
  3. Step 3: Cross multiply
    441,885,039.75x = 662,827,560.75 × 662,827,560.75
  4. Step 4: Simplify right side
    441,885,039.75x = 439,340,375,289,794,944
  5. Step 5: Solve for x
    x = 439,340,375,289,794,944/441,885,039.75
  6. Step 6: Final answer
    x = 994,241,342.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.