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Finding the Third Proportional to 351,267 and 828,938

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Solution

The third proportional to 351,267 and 828,938 is: 1,956,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,267 : 828,938 = 828,938 : x
  2. Step 2: Convert to fraction form
    351,267/828,938 = 828,938/x
  3. Step 3: Cross multiply
    351,267x = 828,938 × 828,938
  4. Step 4: Simplify right side
    351,267x = 687,138,207,844
  5. Step 5: Solve for x
    x = 687,138,207,844/351,267
  6. Step 6: Final answer
    x = 1,956,170.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.