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Finding the Third Proportional to 324,092 and 490,614

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Solution

The third proportional to 324,092 and 490,614 is: 742,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,092 : 490,614 = 490,614 : x
  2. Step 2: Convert to fraction form
    324,092/490,614 = 490,614/x
  3. Step 3: Cross multiply
    324,092x = 490,614 × 490,614
  4. Step 4: Simplify right side
    324,092x = 240,702,096,996
  5. Step 5: Solve for x
    x = 240,702,096,996/324,092
  6. Step 6: Final answer
    x = 742,696.82

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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.