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Finding the Third Proportional to 301,016 and 653,926

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Solution

The third proportional to 301,016 and 653,926 is: 1,420,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,016 : 653,926 = 653,926 : x
  2. Step 2: Convert to fraction form
    301,016/653,926 = 653,926/x
  3. Step 3: Cross multiply
    301,016x = 653,926 × 653,926
  4. Step 4: Simplify right side
    301,016x = 427,619,213,476
  5. Step 5: Solve for x
    x = 427,619,213,476/301,016
  6. Step 6: Final answer
    x = 1,420,586.33

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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.