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Finding the Third Proportional to 328,544 and 706,168

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Solution

The third proportional to 328,544 and 706,168 is: 1,517,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,544 : 706,168 = 706,168 : x
  2. Step 2: Convert to fraction form
    328,544/706,168 = 706,168/x
  3. Step 3: Cross multiply
    328,544x = 706,168 × 706,168
  4. Step 4: Simplify right side
    328,544x = 498,673,244,224
  5. Step 5: Solve for x
    x = 498,673,244,224/328,544
  6. Step 6: Final answer
    x = 1,517,827.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.