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Finding the Third Proportional to 515,112 and 787,977

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Solution

The third proportional to 515,112 and 787,977 is: 1,205,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,112 : 787,977 = 787,977 : x
  2. Step 2: Convert to fraction form
    515,112/787,977 = 787,977/x
  3. Step 3: Cross multiply
    515,112x = 787,977 × 787,977
  4. Step 4: Simplify right side
    515,112x = 620,907,752,529
  5. Step 5: Solve for x
    x = 620,907,752,529/515,112
  6. Step 6: Final answer
    x = 1,205,383.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.