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Finding the Third Proportional to 362,353 and 796,394

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Solution

The third proportional to 362,353 and 796,394 is: 1,750,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,353 : 796,394 = 796,394 : x
  2. Step 2: Convert to fraction form
    362,353/796,394 = 796,394/x
  3. Step 3: Cross multiply
    362,353x = 796,394 × 796,394
  4. Step 4: Simplify right side
    362,353x = 634,243,403,236
  5. Step 5: Solve for x
    x = 634,243,403,236/362,353
  6. Step 6: Final answer
    x = 1,750,346.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.