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Finding the Third Proportional to 327,258 and 706,086

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Solution

The third proportional to 327,258 and 706,086 is: 1,523,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,258 : 706,086 = 706,086 : x
  2. Step 2: Convert to fraction form
    327,258/706,086 = 706,086/x
  3. Step 3: Cross multiply
    327,258x = 706,086 × 706,086
  4. Step 4: Simplify right side
    327,258x = 498,557,439,396
  5. Step 5: Solve for x
    x = 498,557,439,396/327,258
  6. Step 6: Final answer
    x = 1,523,438.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.