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Finding the Third Proportional to 362,355 and 796,398

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Solution

The third proportional to 362,355 and 796,398 is: 1,750,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,355 : 796,398 = 796,398 : x
  2. Step 2: Convert to fraction form
    362,355/796,398 = 796,398/x
  3. Step 3: Cross multiply
    362,355x = 796,398 × 796,398
  4. Step 4: Simplify right side
    362,355x = 634,249,774,404
  5. Step 5: Solve for x
    x = 634,249,774,404/362,355
  6. Step 6: Final answer
    x = 1,750,354.69

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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.