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Finding the Third Proportional to 324,083.50 and 490,602.75

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Solution

The third proportional to 324,083.50 and 490,602.75 is: 742,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,083.50 : 490,602.75 = 490,602.75 : x
  2. Step 2: Convert to fraction form
    324,083.50/490,602.75 = 490,602.75/x
  3. Step 3: Cross multiply
    324,083.50x = 490,602.75 × 490,602.75
  4. Step 4: Simplify right side
    324,083.50x = 240,691,058,307.56
  5. Step 5: Solve for x
    x = 240,691,058,307.56/324,083.50
  6. Step 6: Final answer
    x = 742,682.24

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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.