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Finding the Third Proportional to 321,858 and 685,296

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Solution

The third proportional to 321,858 and 685,296 is: 1,459,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,858 : 685,296 = 685,296 : x
  2. Step 2: Convert to fraction form
    321,858/685,296 = 685,296/x
  3. Step 3: Cross multiply
    321,858x = 685,296 × 685,296
  4. Step 4: Simplify right side
    321,858x = 469,630,607,616
  5. Step 5: Solve for x
    x = 469,630,607,616/321,858
  6. Step 6: Final answer
    x = 1,459,123.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.