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Finding the Third Proportional to 322,005.38 and 699,384.38

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Solution

The third proportional to 322,005.38 and 699,384.38 is: 1,519,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,005.38 : 699,384.38 = 699,384.38 : x
  2. Step 2: Convert to fraction form
    322,005.38/699,384.38 = 699,384.38/x
  3. Step 3: Cross multiply
    322,005.38x = 699,384.38 × 699,384.38
  4. Step 4: Simplify right side
    322,005.38x = 489,138,503,994.14
  5. Step 5: Solve for x
    x = 489,138,503,994.14/322,005.38
  6. Step 6: Final answer
    x = 1,519,038.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.