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Finding the Third Proportional to 380,379.75 and 588,676.50

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Solution

The third proportional to 380,379.75 and 588,676.50 is: 911,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,379.75 : 588,676.50 = 588,676.50 : x
  2. Step 2: Convert to fraction form
    380,379.75/588,676.50 = 588,676.50/x
  3. Step 3: Cross multiply
    380,379.75x = 588,676.50 × 588,676.50
  4. Step 4: Simplify right side
    380,379.75x = 346,540,021,652.25
  5. Step 5: Solve for x
    x = 346,540,021,652.25/380,379.75
  6. Step 6: Final answer
    x = 911,036.99

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