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Finding the Third Proportional to 523,568 and 789,716

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Solution

The third proportional to 523,568 and 789,716 is: 1,191,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,568 : 789,716 = 789,716 : x
  2. Step 2: Convert to fraction form
    523,568/789,716 = 789,716/x
  3. Step 3: Cross multiply
    523,568x = 789,716 × 789,716
  4. Step 4: Simplify right side
    523,568x = 623,651,360,656
  5. Step 5: Solve for x
    x = 623,651,360,656/523,568
  6. Step 6: Final answer
    x = 1,191,156.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.