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Finding the Third Proportional to 363,402 and 796,068

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Solution

The third proportional to 363,402 and 796,068 is: 1,743,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,402 : 796,068 = 796,068 : x
  2. Step 2: Convert to fraction form
    363,402/796,068 = 796,068/x
  3. Step 3: Cross multiply
    363,402x = 796,068 × 796,068
  4. Step 4: Simplify right side
    363,402x = 633,724,260,624
  5. Step 5: Solve for x
    x = 633,724,260,624/363,402
  6. Step 6: Final answer
    x = 1,743,865.64

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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.