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Finding the Third Proportional to 326,936 and 689,368

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Solution

The third proportional to 326,936 and 689,368 is: 1,453,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,936 : 689,368 = 689,368 : x
  2. Step 2: Convert to fraction form
    326,936/689,368 = 689,368/x
  3. Step 3: Cross multiply
    326,936x = 689,368 × 689,368
  4. Step 4: Simplify right side
    326,936x = 475,228,239,424
  5. Step 5: Solve for x
    x = 475,228,239,424/326,936
  6. Step 6: Final answer
    x = 1,453,581.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.