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Finding the Third Proportional to 380,051,716.50 and 587,530,361.25

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Solution

The third proportional to 380,051,716.50 and 587,530,361.25 is: 908,276,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,051,716.50 : 587,530,361.25 = 587,530,361.25 : x
  2. Step 2: Convert to fraction form
    380,051,716.50/587,530,361.25 = 587,530,361.25/x
  3. Step 3: Cross multiply
    380,051,716.50x = 587,530,361.25 × 587,530,361.25
  4. Step 4: Simplify right side
    380,051,716.50x = 345,191,925,390,555,520
  5. Step 5: Solve for x
    x = 345,191,925,390,555,520/380,051,716.50
  6. Step 6: Final answer
    x = 908,276,190.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.