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Finding the Third Proportional to 322,096 and 685,772

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Solution

The third proportional to 322,096 and 685,772 is: 1,460,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,096 : 685,772 = 685,772 : x
  2. Step 2: Convert to fraction form
    322,096/685,772 = 685,772/x
  3. Step 3: Cross multiply
    322,096x = 685,772 × 685,772
  4. Step 4: Simplify right side
    322,096x = 470,283,235,984
  5. Step 5: Solve for x
    x = 470,283,235,984/322,096
  6. Step 6: Final answer
    x = 1,460,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.