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Finding the Third Proportional to 323,194 and 434,763

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Solution

The third proportional to 323,194 and 434,763 is: 584,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,194 : 434,763 = 434,763 : x
  2. Step 2: Convert to fraction form
    323,194/434,763 = 434,763/x
  3. Step 3: Cross multiply
    323,194x = 434,763 × 434,763
  4. Step 4: Simplify right side
    323,194x = 189,018,866,169
  5. Step 5: Solve for x
    x = 189,018,866,169/323,194
  6. Step 6: Final answer
    x = 584,846.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.