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Finding the Third Proportional to 526,971 and 789,015

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Solution

The third proportional to 526,971 and 789,015 is: 1,181,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,971 : 789,015 = 789,015 : x
  2. Step 2: Convert to fraction form
    526,971/789,015 = 789,015/x
  3. Step 3: Cross multiply
    526,971x = 789,015 × 789,015
  4. Step 4: Simplify right side
    526,971x = 622,544,670,225
  5. Step 5: Solve for x
    x = 622,544,670,225/526,971
  6. Step 6: Final answer
    x = 1,181,364.19

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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.