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Finding the Third Proportional to 319,093.50 and 673,044

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Solution

The third proportional to 319,093.50 and 673,044 is: 1,419,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,093.50 : 673,044 = 673,044 : x
  2. Step 2: Convert to fraction form
    319,093.50/673,044 = 673,044/x
  3. Step 3: Cross multiply
    319,093.50x = 673,044 × 673,044
  4. Step 4: Simplify right side
    319,093.50x = 452,988,225,936
  5. Step 5: Solve for x
    x = 452,988,225,936/319,093.50
  6. Step 6: Final answer
    x = 1,419,609.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.