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Finding the Third Proportional to 301,916 and 616,941

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Solution

The third proportional to 301,916 and 616,941 is: 1,260,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,916 : 616,941 = 616,941 : x
  2. Step 2: Convert to fraction form
    301,916/616,941 = 616,941/x
  3. Step 3: Cross multiply
    301,916x = 616,941 × 616,941
  4. Step 4: Simplify right side
    301,916x = 380,616,197,481
  5. Step 5: Solve for x
    x = 380,616,197,481/301,916
  6. Step 6: Final answer
    x = 1,260,669.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.