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Finding the Third Proportional to 399,093 and 598,055

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Solution

The third proportional to 399,093 and 598,055 is: 896,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,093 : 598,055 = 598,055 : x
  2. Step 2: Convert to fraction form
    399,093/598,055 = 598,055/x
  3. Step 3: Cross multiply
    399,093x = 598,055 × 598,055
  4. Step 4: Simplify right side
    399,093x = 357,669,783,025
  5. Step 5: Solve for x
    x = 357,669,783,025/399,093
  6. Step 6: Final answer
    x = 896,206.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.