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Finding the Third Proportional to 293,848.50 and 436,452.75

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Solution

The third proportional to 293,848.50 and 436,452.75 is: 648,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,848.50 : 436,452.75 = 436,452.75 : x
  2. Step 2: Convert to fraction form
    293,848.50/436,452.75 = 436,452.75/x
  3. Step 3: Cross multiply
    293,848.50x = 436,452.75 × 436,452.75
  4. Step 4: Simplify right side
    293,848.50x = 190,491,002,982.56
  5. Step 5: Solve for x
    x = 190,491,002,982.56/293,848.50
  6. Step 6: Final answer
    x = 648,262.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.