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Finding the Third Proportional to 326,803.50 and 450,027

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Solution

The third proportional to 326,803.50 and 450,027 is: 619,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,803.50 : 450,027 = 450,027 : x
  2. Step 2: Convert to fraction form
    326,803.50/450,027 = 450,027/x
  3. Step 3: Cross multiply
    326,803.50x = 450,027 × 450,027
  4. Step 4: Simplify right side
    326,803.50x = 202,524,300,729
  5. Step 5: Solve for x
    x = 202,524,300,729/326,803.50
  6. Step 6: Final answer
    x = 619,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.