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Finding the Third Proportional to 312,112 and 673,977

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Solution

The third proportional to 312,112 and 673,977 is: 1,455,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,112 : 673,977 = 673,977 : x
  2. Step 2: Convert to fraction form
    312,112/673,977 = 673,977/x
  3. Step 3: Cross multiply
    312,112x = 673,977 × 673,977
  4. Step 4: Simplify right side
    312,112x = 454,244,996,529
  5. Step 5: Solve for x
    x = 454,244,996,529/312,112
  6. Step 6: Final answer
    x = 1,455,391.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.