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Finding the Third Proportional to 301,968 and 653,112

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Solution

The third proportional to 301,968 and 653,112 is: 1,412,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968 : 653,112 = 653,112 : x
  2. Step 2: Convert to fraction form
    301,968/653,112 = 653,112/x
  3. Step 3: Cross multiply
    301,968x = 653,112 × 653,112
  4. Step 4: Simplify right side
    301,968x = 426,555,284,544
  5. Step 5: Solve for x
    x = 426,555,284,544/301,968
  6. Step 6: Final answer
    x = 1,412,584.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.