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Finding the Third Proportional to 524,322 and 789,078

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Solution

The third proportional to 524,322 and 789,078 is: 1,187,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,322 : 789,078 = 789,078 : x
  2. Step 2: Convert to fraction form
    524,322/789,078 = 789,078/x
  3. Step 3: Cross multiply
    524,322x = 789,078 × 789,078
  4. Step 4: Simplify right side
    524,322x = 622,644,090,084
  5. Step 5: Solve for x
    x = 622,644,090,084/524,322
  6. Step 6: Final answer
    x = 1,187,522.34

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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.