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Finding the Third Proportional to 323,406 and 691,144.50

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Solution

The third proportional to 323,406 and 691,144.50 is: 1,477,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,406 : 691,144.50 = 691,144.50 : x
  2. Step 2: Convert to fraction form
    323,406/691,144.50 = 691,144.50/x
  3. Step 3: Cross multiply
    323,406x = 691,144.50 × 691,144.50
  4. Step 4: Simplify right side
    323,406x = 477,680,719,880.25
  5. Step 5: Solve for x
    x = 477,680,719,880.25/323,406
  6. Step 6: Final answer
    x = 1,477,031.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.