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Finding the Third Proportional to 323,192 and 434,760

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Solution

The third proportional to 323,192 and 434,760 is: 584,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,192 : 434,760 = 434,760 : x
  2. Step 2: Convert to fraction form
    323,192/434,760 = 434,760/x
  3. Step 3: Cross multiply
    323,192x = 434,760 × 434,760
  4. Step 4: Simplify right side
    323,192x = 189,016,257,600
  5. Step 5: Solve for x
    x = 189,016,257,600/323,192
  6. Step 6: Final answer
    x = 584,842.01

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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.