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Finding the Third Proportional to 323,899 and 668,543

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Solution

The third proportional to 323,899 and 668,543 is: 1,379,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,899 : 668,543 = 668,543 : x
  2. Step 2: Convert to fraction form
    323,899/668,543 = 668,543/x
  3. Step 3: Cross multiply
    323,899x = 668,543 × 668,543
  4. Step 4: Simplify right side
    323,899x = 446,949,742,849
  5. Step 5: Solve for x
    x = 446,949,742,849/323,899
  6. Step 6: Final answer
    x = 1,379,904.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.