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Finding the Third Proportional to 473,958,463.50 and 628,892,383.50

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Solution

The third proportional to 473,958,463.50 and 628,892,383.50 is: 834,473,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,958,463.50 : 628,892,383.50 = 628,892,383.50 : x
  2. Step 2: Convert to fraction form
    473,958,463.50/628,892,383.50 = 628,892,383.50/x
  3. Step 3: Cross multiply
    473,958,463.50x = 628,892,383.50 × 628,892,383.50
  4. Step 4: Simplify right side
    473,958,463.50x = 395,505,630,024,311,104
  5. Step 5: Solve for x
    x = 395,505,630,024,311,104/473,958,463.50
  6. Step 6: Final answer
    x = 834,473,188.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.