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Finding the Third Proportional to 327,194 and 692,113

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Solution

The third proportional to 327,194 and 692,113 is: 1,464,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,194 : 692,113 = 692,113 : x
  2. Step 2: Convert to fraction form
    327,194/692,113 = 692,113/x
  3. Step 3: Cross multiply
    327,194x = 692,113 × 692,113
  4. Step 4: Simplify right side
    327,194x = 479,020,404,769
  5. Step 5: Solve for x
    x = 479,020,404,769/327,194
  6. Step 6: Final answer
    x = 1,464,025.64

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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.