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Finding the Third Proportional to 327,416 and 705,212

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Solution

The third proportional to 327,416 and 705,212 is: 1,518,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,416 : 705,212 = 705,212 : x
  2. Step 2: Convert to fraction form
    327,416/705,212 = 705,212/x
  3. Step 3: Cross multiply
    327,416x = 705,212 × 705,212
  4. Step 4: Simplify right side
    327,416x = 497,323,964,944
  5. Step 5: Solve for x
    x = 497,323,964,944/327,416
  6. Step 6: Final answer
    x = 1,518,936.05

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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.