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Finding the Third Proportional to 324,234 and 490,815

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Solution

The third proportional to 324,234 and 490,815 is: 742,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,234 : 490,815 = 490,815 : x
  2. Step 2: Convert to fraction form
    324,234/490,815 = 490,815/x
  3. Step 3: Cross multiply
    324,234x = 490,815 × 490,815
  4. Step 4: Simplify right side
    324,234x = 240,899,364,225
  5. Step 5: Solve for x
    x = 240,899,364,225/324,234
  6. Step 6: Final answer
    x = 742,979.96

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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.