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Finding the Third Proportional to 301,100 and 654,199

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Solution

The third proportional to 301,100 and 654,199 is: 1,421,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100 : 654,199 = 654,199 : x
  2. Step 2: Convert to fraction form
    301,100/654,199 = 654,199/x
  3. Step 3: Cross multiply
    301,100x = 654,199 × 654,199
  4. Step 4: Simplify right side
    301,100x = 427,976,331,601
  5. Step 5: Solve for x
    x = 427,976,331,601/301,100
  6. Step 6: Final answer
    x = 1,421,376.06

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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.