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Finding the Third Proportional to 329,292 and 722,736

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Solution

The third proportional to 329,292 and 722,736 is: 1,586,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,292 : 722,736 = 722,736 : x
  2. Step 2: Convert to fraction form
    329,292/722,736 = 722,736/x
  3. Step 3: Cross multiply
    329,292x = 722,736 × 722,736
  4. Step 4: Simplify right side
    329,292x = 522,347,325,696
  5. Step 5: Solve for x
    x = 522,347,325,696/329,292
  6. Step 6: Final answer
    x = 1,586,273.96

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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.