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Finding the Third Proportional to 595,204 and 894,162

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Solution

The third proportional to 595,204 and 894,162 is: 1,343,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,204 : 894,162 = 894,162 : x
  2. Step 2: Convert to fraction form
    595,204/894,162 = 894,162/x
  3. Step 3: Cross multiply
    595,204x = 894,162 × 894,162
  4. Step 4: Simplify right side
    595,204x = 799,525,682,244
  5. Step 5: Solve for x
    x = 799,525,682,244/595,204
  6. Step 6: Final answer
    x = 1,343,280.09

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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.