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Finding the Third Proportional to 323,848 and 490,290

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Solution

The third proportional to 323,848 and 490,290 is: 742,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,848 : 490,290 = 490,290 : x
  2. Step 2: Convert to fraction form
    323,848/490,290 = 490,290/x
  3. Step 3: Cross multiply
    323,848x = 490,290 × 490,290
  4. Step 4: Simplify right side
    323,848x = 240,384,284,100
  5. Step 5: Solve for x
    x = 240,384,284,100/323,848
  6. Step 6: Final answer
    x = 742,275.03

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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.