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Finding the Third Proportional to 523,566 and 789,713

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Solution

The third proportional to 523,566 and 789,713 is: 1,191,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,566 : 789,713 = 789,713 : x
  2. Step 2: Convert to fraction form
    523,566/789,713 = 789,713/x
  3. Step 3: Cross multiply
    523,566x = 789,713 × 789,713
  4. Step 4: Simplify right side
    523,566x = 623,646,622,369
  5. Step 5: Solve for x
    x = 623,646,622,369/523,566
  6. Step 6: Final answer
    x = 1,191,151.87

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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.