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Finding the Third Proportional to 251,112 and 519,606

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Solution

The third proportional to 251,112 and 519,606 is: 1,075,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,112 : 519,606 = 519,606 : x
  2. Step 2: Convert to fraction form
    251,112/519,606 = 519,606/x
  3. Step 3: Cross multiply
    251,112x = 519,606 × 519,606
  4. Step 4: Simplify right side
    251,112x = 269,990,395,236
  5. Step 5: Solve for x
    x = 269,990,395,236/251,112
  6. Step 6: Final answer
    x = 1,075,179.18

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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.