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Finding the Third Proportional to 327,412 and 705,204

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Solution

The third proportional to 327,412 and 705,204 is: 1,518,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,412 : 705,204 = 705,204 : x
  2. Step 2: Convert to fraction form
    327,412/705,204 = 705,204/x
  3. Step 3: Cross multiply
    327,412x = 705,204 × 705,204
  4. Step 4: Simplify right side
    327,412x = 497,312,681,616
  5. Step 5: Solve for x
    x = 497,312,681,616/327,412
  6. Step 6: Final answer
    x = 1,518,920.14

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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.