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Finding the Third Proportional to 655,189.50 and 1,342,134

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Solution

The third proportional to 655,189.50 and 1,342,134 is: 2,749,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,189.50 : 1,342,134 = 1,342,134 : x
  2. Step 2: Convert to fraction form
    655,189.50/1,342,134 = 1,342,134/x
  3. Step 3: Cross multiply
    655,189.50x = 1,342,134 × 1,342,134
  4. Step 4: Simplify right side
    655,189.50x = 1,801,323,673,956
  5. Step 5: Solve for x
    x = 1,801,323,673,956/655,189.50
  6. Step 6: Final answer
    x = 2,749,317.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.