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Finding the Third Proportional to 374,346 and 818,676

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Solution

The third proportional to 374,346 and 818,676 is: 1,790,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,346 : 818,676 = 818,676 : x
  2. Step 2: Convert to fraction form
    374,346/818,676 = 818,676/x
  3. Step 3: Cross multiply
    374,346x = 818,676 × 818,676
  4. Step 4: Simplify right side
    374,346x = 670,230,392,976
  5. Step 5: Solve for x
    x = 670,230,392,976/374,346
  6. Step 6: Final answer
    x = 1,790,403.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.