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Finding the Third Proportional to 385,505,211 and 587,292,298

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Solution

The third proportional to 385,505,211 and 587,292,298 is: 894,701,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,505,211 : 587,292,298 = 587,292,298 : x
  2. Step 2: Convert to fraction form
    385,505,211/587,292,298 = 587,292,298/x
  3. Step 3: Cross multiply
    385,505,211x = 587,292,298 × 587,292,298
  4. Step 4: Simplify right side
    385,505,211x = 344,912,243,290,120,832
  5. Step 5: Solve for x
    x = 344,912,243,290,120,832/385,505,211
  6. Step 6: Final answer
    x = 894,701,896.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.