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Finding the Third Proportional to 286,408.50 and 617,196

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Solution

The third proportional to 286,408.50 and 617,196 is: 1,330,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,408.50 : 617,196 = 617,196 : x
  2. Step 2: Convert to fraction form
    286,408.50/617,196 = 617,196/x
  3. Step 3: Cross multiply
    286,408.50x = 617,196 × 617,196
  4. Step 4: Simplify right side
    286,408.50x = 380,930,902,416
  5. Step 5: Solve for x
    x = 380,930,902,416/286,408.50
  6. Step 6: Final answer
    x = 1,330,026.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.