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Finding the Third Proportional to 377,519 and 821,350

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Solution

The third proportional to 377,519 and 821,350 is: 1,786,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,519 : 821,350 = 821,350 : x
  2. Step 2: Convert to fraction form
    377,519/821,350 = 821,350/x
  3. Step 3: Cross multiply
    377,519x = 821,350 × 821,350
  4. Step 4: Simplify right side
    377,519x = 674,615,822,500
  5. Step 5: Solve for x
    x = 674,615,822,500/377,519
  6. Step 6: Final answer
    x = 1,786,971.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.