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Finding the Third Proportional to 526,998 and 789,063

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Solution

The third proportional to 526,998 and 789,063 is: 1,181,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,998 : 789,063 = 789,063 : x
  2. Step 2: Convert to fraction form
    526,998/789,063 = 789,063/x
  3. Step 3: Cross multiply
    526,998x = 789,063 × 789,063
  4. Step 4: Simplify right side
    526,998x = 622,620,417,969
  5. Step 5: Solve for x
    x = 622,620,417,969/526,998
  6. Step 6: Final answer
    x = 1,181,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.