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Finding the Third Proportional to 309,162 and 671,199

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Solution

The third proportional to 309,162 and 671,199 is: 1,457,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,162 : 671,199 = 671,199 : x
  2. Step 2: Convert to fraction form
    309,162/671,199 = 671,199/x
  3. Step 3: Cross multiply
    309,162x = 671,199 × 671,199
  4. Step 4: Simplify right side
    309,162x = 450,508,097,601
  5. Step 5: Solve for x
    x = 450,508,097,601/309,162
  6. Step 6: Final answer
    x = 1,457,191.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.