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Finding the Third Proportional to 363,733 and 789,674

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Solution

The third proportional to 363,733 and 789,674 is: 1,714,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,733 : 789,674 = 789,674 : x
  2. Step 2: Convert to fraction form
    363,733/789,674 = 789,674/x
  3. Step 3: Cross multiply
    363,733x = 789,674 × 789,674
  4. Step 4: Simplify right side
    363,733x = 623,585,026,276
  5. Step 5: Solve for x
    x = 623,585,026,276/363,733
  6. Step 6: Final answer
    x = 1,714,403.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.