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Finding the Third Proportional to 301,026 and 653,874

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Solution

The third proportional to 301,026 and 653,874 is: 1,420,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,026 : 653,874 = 653,874 : x
  2. Step 2: Convert to fraction form
    301,026/653,874 = 653,874/x
  3. Step 3: Cross multiply
    301,026x = 653,874 × 653,874
  4. Step 4: Simplify right side
    301,026x = 427,551,207,876
  5. Step 5: Solve for x
    x = 427,551,207,876/301,026
  6. Step 6: Final answer
    x = 1,420,313.22

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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.