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Finding the Third Proportional to 363,900 and 789,648

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Solution

The third proportional to 363,900 and 789,648 is: 1,713,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,900 : 789,648 = 789,648 : x
  2. Step 2: Convert to fraction form
    363,900/789,648 = 789,648/x
  3. Step 3: Cross multiply
    363,900x = 789,648 × 789,648
  4. Step 4: Simplify right side
    363,900x = 623,543,963,904
  5. Step 5: Solve for x
    x = 623,543,963,904/363,900
  6. Step 6: Final answer
    x = 1,713,503.61

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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.