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Finding the Third Proportional to 325,322 and 692,116

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Solution

The third proportional to 325,322 and 692,116 is: 1,472,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,322 : 692,116 = 692,116 : x
  2. Step 2: Convert to fraction form
    325,322/692,116 = 692,116/x
  3. Step 3: Cross multiply
    325,322x = 692,116 × 692,116
  4. Step 4: Simplify right side
    325,322x = 479,024,557,456
  5. Step 5: Solve for x
    x = 479,024,557,456/325,322
  6. Step 6: Final answer
    x = 1,472,462.84

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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.