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Finding the Third Proportional to 520,082 and 825,219

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Solution

The third proportional to 520,082 and 825,219 is: 1,309,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082 : 825,219 = 825,219 : x
  2. Step 2: Convert to fraction form
    520,082/825,219 = 825,219/x
  3. Step 3: Cross multiply
    520,082x = 825,219 × 825,219
  4. Step 4: Simplify right side
    520,082x = 680,986,397,961
  5. Step 5: Solve for x
    x = 680,986,397,961/520,082
  6. Step 6: Final answer
    x = 1,309,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.