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Finding the Third Proportional to 323,190 and 434,757.38

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Solution

The third proportional to 323,190 and 434,757.38 is: 584,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,190 : 434,757.38 = 434,757.38 : x
  2. Step 2: Convert to fraction form
    323,190/434,757.38 = 434,757.38/x
  3. Step 3: Cross multiply
    323,190x = 434,757.38 × 434,757.38
  4. Step 4: Simplify right side
    323,190x = 189,013,975,116.89
  5. Step 5: Solve for x
    x = 189,013,975,116.89/323,190
  6. Step 6: Final answer
    x = 584,838.56

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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.