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Finding the Third Proportional to 326,884.50 and 450,150.75

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Solution

The third proportional to 326,884.50 and 450,150.75 is: 619,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,884.50 : 450,150.75 = 450,150.75 : x
  2. Step 2: Convert to fraction form
    326,884.50/450,150.75 = 450,150.75/x
  3. Step 3: Cross multiply
    326,884.50x = 450,150.75 × 450,150.75
  4. Step 4: Simplify right side
    326,884.50x = 202,635,697,725.56
  5. Step 5: Solve for x
    x = 202,635,697,725.56/326,884.50
  6. Step 6: Final answer
    x = 619,899.99

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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.