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Finding the Third Proportional to 302,676.75 and 648,819.75

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Solution

The third proportional to 302,676.75 and 648,819.75 is: 1,390,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,676.75 : 648,819.75 = 648,819.75 : x
  2. Step 2: Convert to fraction form
    302,676.75/648,819.75 = 648,819.75/x
  3. Step 3: Cross multiply
    302,676.75x = 648,819.75 × 648,819.75
  4. Step 4: Simplify right side
    302,676.75x = 420,967,067,990.06
  5. Step 5: Solve for x
    x = 420,967,067,990.06/302,676.75
  6. Step 6: Final answer
    x = 1,390,814.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.