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Finding the Third Proportional to 362,565 and 789,645

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Solution

The third proportional to 362,565 and 789,645 is: 1,719,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565 : 789,645 = 789,645 : x
  2. Step 2: Convert to fraction form
    362,565/789,645 = 789,645/x
  3. Step 3: Cross multiply
    362,565x = 789,645 × 789,645
  4. Step 4: Simplify right side
    362,565x = 623,539,226,025
  5. Step 5: Solve for x
    x = 623,539,226,025/362,565
  6. Step 6: Final answer
    x = 1,719,799.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.