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Finding the Third Proportional to 363,696 and 789,600

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Solution

The third proportional to 363,696 and 789,600 is: 1,714,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,696 : 789,600 = 789,600 : x
  2. Step 2: Convert to fraction form
    363,696/789,600 = 789,600/x
  3. Step 3: Cross multiply
    363,696x = 789,600 × 789,600
  4. Step 4: Simplify right side
    363,696x = 623,468,160,000
  5. Step 5: Solve for x
    x = 623,468,160,000/363,696
  6. Step 6: Final answer
    x = 1,714,256.30

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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.