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Finding the Third Proportional to 288,321.75 and 458,232.75

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Solution

The third proportional to 288,321.75 and 458,232.75 is: 728,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,321.75 : 458,232.75 = 458,232.75 : x
  2. Step 2: Convert to fraction form
    288,321.75/458,232.75 = 458,232.75/x
  3. Step 3: Cross multiply
    288,321.75x = 458,232.75 × 458,232.75
  4. Step 4: Simplify right side
    288,321.75x = 209,977,253,172.56
  5. Step 5: Solve for x
    x = 209,977,253,172.56/288,321.75
  6. Step 6: Final answer
    x = 728,274.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.