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Finding the Third Proportional to 312,000 and 683,232

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Solution

The third proportional to 312,000 and 683,232 is: 1,496,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000 : 683,232 = 683,232 : x
  2. Step 2: Convert to fraction form
    312,000/683,232 = 683,232/x
  3. Step 3: Cross multiply
    312,000x = 683,232 × 683,232
  4. Step 4: Simplify right side
    312,000x = 466,805,965,824
  5. Step 5: Solve for x
    x = 466,805,965,824/312,000
  6. Step 6: Final answer
    x = 1,496,172.97

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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.