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Finding the Third Proportional to 301,910 and 616,929

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Solution

The third proportional to 301,910 and 616,929 is: 1,260,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,910 : 616,929 = 616,929 : x
  2. Step 2: Convert to fraction form
    301,910/616,929 = 616,929/x
  3. Step 3: Cross multiply
    301,910x = 616,929 × 616,929
  4. Step 4: Simplify right side
    301,910x = 380,601,391,041
  5. Step 5: Solve for x
    x = 380,601,391,041/301,910
  6. Step 6: Final answer
    x = 1,260,645.20

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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.