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Finding the Third Proportional to 327,197 and 692,119

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Solution

The third proportional to 327,197 and 692,119 is: 1,464,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,197 : 692,119 = 692,119 : x
  2. Step 2: Convert to fraction form
    327,197/692,119 = 692,119/x
  3. Step 3: Cross multiply
    327,197x = 692,119 × 692,119
  4. Step 4: Simplify right side
    327,197x = 479,028,710,161
  5. Step 5: Solve for x
    x = 479,028,710,161/327,197
  6. Step 6: Final answer
    x = 1,464,037.60

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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.