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Finding the Third Proportional to 301,252 and 649,196

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Solution

The third proportional to 301,252 and 649,196 is: 1,399,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252 : 649,196 = 649,196 : x
  2. Step 2: Convert to fraction form
    301,252/649,196 = 649,196/x
  3. Step 3: Cross multiply
    301,252x = 649,196 × 649,196
  4. Step 4: Simplify right side
    301,252x = 421,455,446,416
  5. Step 5: Solve for x
    x = 421,455,446,416/301,252
  6. Step 6: Final answer
    x = 1,399,012.94

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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.