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Finding the Third Proportional to 324,940 and 434,670

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Solution

The third proportional to 324,940 and 434,670 is: 581,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,940 : 434,670 = 434,670 : x
  2. Step 2: Convert to fraction form
    324,940/434,670 = 434,670/x
  3. Step 3: Cross multiply
    324,940x = 434,670 × 434,670
  4. Step 4: Simplify right side
    324,940x = 188,938,008,900
  5. Step 5: Solve for x
    x = 188,938,008,900/324,940
  6. Step 6: Final answer
    x = 581,455.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.