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Finding the Third Proportional to 326,811 and 450,037.50

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Solution

The third proportional to 326,811 and 450,037.50 is: 619,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,811 : 450,037.50 = 450,037.50 : x
  2. Step 2: Convert to fraction form
    326,811/450,037.50 = 450,037.50/x
  3. Step 3: Cross multiply
    326,811x = 450,037.50 × 450,037.50
  4. Step 4: Simplify right side
    326,811x = 202,533,751,406.25
  5. Step 5: Solve for x
    x = 202,533,751,406.25/326,811
  6. Step 6: Final answer
    x = 619,727.46

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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.