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Finding the Third Proportional to 251,082 and 519,543

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Solution

The third proportional to 251,082 and 519,543 is: 1,075,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,082 : 519,543 = 519,543 : x
  2. Step 2: Convert to fraction form
    251,082/519,543 = 519,543/x
  3. Step 3: Cross multiply
    251,082x = 519,543 × 519,543
  4. Step 4: Simplify right side
    251,082x = 269,924,928,849
  5. Step 5: Solve for x
    x = 269,924,928,849/251,082
  6. Step 6: Final answer
    x = 1,075,046.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.