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Finding the Third Proportional to 323,852 and 490,296

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Solution

The third proportional to 323,852 and 490,296 is: 742,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,852 : 490,296 = 490,296 : x
  2. Step 2: Convert to fraction form
    323,852/490,296 = 490,296/x
  3. Step 3: Cross multiply
    323,852x = 490,296 × 490,296
  4. Step 4: Simplify right side
    323,852x = 240,390,167,616
  5. Step 5: Solve for x
    x = 240,390,167,616/323,852
  6. Step 6: Final answer
    x = 742,284.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.