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Finding the Third Proportional to 327,192 and 692,109

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Solution

The third proportional to 327,192 and 692,109 is: 1,464,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,192 : 692,109 = 692,109 : x
  2. Step 2: Convert to fraction form
    327,192/692,109 = 692,109/x
  3. Step 3: Cross multiply
    327,192x = 692,109 × 692,109
  4. Step 4: Simplify right side
    327,192x = 479,014,867,881
  5. Step 5: Solve for x
    x = 479,014,867,881/327,192
  6. Step 6: Final answer
    x = 1,464,017.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.