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Finding the Third Proportional to 385,505,311.50 and 587,292,471

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Solution

The third proportional to 385,505,311.50 and 587,292,471 is: 894,702,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,505,311.50 : 587,292,471 = 587,292,471 : x
  2. Step 2: Convert to fraction form
    385,505,311.50/587,292,471 = 587,292,471/x
  3. Step 3: Cross multiply
    385,505,311.50x = 587,292,471 × 587,292,471
  4. Step 4: Simplify right side
    385,505,311.50x = 344,912,446,493,285,824
  5. Step 5: Solve for x
    x = 344,912,446,493,285,824/385,505,311.50
  6. Step 6: Final answer
    x = 894,702,190.10

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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.