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Finding the Third Proportional to 312,294 and 671,949

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Solution

The third proportional to 312,294 and 671,949 is: 1,445,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294 : 671,949 = 671,949 : x
  2. Step 2: Convert to fraction form
    312,294/671,949 = 671,949/x
  3. Step 3: Cross multiply
    312,294x = 671,949 × 671,949
  4. Step 4: Simplify right side
    312,294x = 451,515,458,601
  5. Step 5: Solve for x
    x = 451,515,458,601/312,294
  6. Step 6: Final answer
    x = 1,445,802.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.