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Finding the Third Proportional to 326,538 and 692,739

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Solution

The third proportional to 326,538 and 692,739 is: 1,469,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,538 : 692,739 = 692,739 : x
  2. Step 2: Convert to fraction form
    326,538/692,739 = 692,739/x
  3. Step 3: Cross multiply
    326,538x = 692,739 × 692,739
  4. Step 4: Simplify right side
    326,538x = 479,887,322,121
  5. Step 5: Solve for x
    x = 479,887,322,121/326,538
  6. Step 6: Final answer
    x = 1,469,621.67

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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.