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Finding the Third Proportional to 327,414 and 705,208

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Solution

The third proportional to 327,414 and 705,208 is: 1,518,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414 : 705,208 = 705,208 : x
  2. Step 2: Convert to fraction form
    327,414/705,208 = 705,208/x
  3. Step 3: Cross multiply
    327,414x = 705,208 × 705,208
  4. Step 4: Simplify right side
    327,414x = 497,318,323,264
  5. Step 5: Solve for x
    x = 497,318,323,264/327,414
  6. Step 6: Final answer
    x = 1,518,928.09

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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.