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Finding the Third Proportional to 311,248 and 683,012

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Solution

The third proportional to 311,248 and 683,012 is: 1,498,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,248 : 683,012 = 683,012 : x
  2. Step 2: Convert to fraction form
    311,248/683,012 = 683,012/x
  3. Step 3: Cross multiply
    311,248x = 683,012 × 683,012
  4. Step 4: Simplify right side
    311,248x = 466,505,392,144
  5. Step 5: Solve for x
    x = 466,505,392,144/311,248
  6. Step 6: Final answer
    x = 1,498,822.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.