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Finding the Third Proportional to 363,068 and 789,102

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Solution

The third proportional to 363,068 and 789,102 is: 1,715,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,068 : 789,102 = 789,102 : x
  2. Step 2: Convert to fraction form
    363,068/789,102 = 789,102/x
  3. Step 3: Cross multiply
    363,068x = 789,102 × 789,102
  4. Step 4: Simplify right side
    363,068x = 622,681,966,404
  5. Step 5: Solve for x
    x = 622,681,966,404/363,068
  6. Step 6: Final answer
    x = 1,715,056.04

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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.