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Finding the Third Proportional to 326,236.50 and 499,104

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Solution

The third proportional to 326,236.50 and 499,104 is: 763,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,236.50 : 499,104 = 499,104 : x
  2. Step 2: Convert to fraction form
    326,236.50/499,104 = 499,104/x
  3. Step 3: Cross multiply
    326,236.50x = 499,104 × 499,104
  4. Step 4: Simplify right side
    326,236.50x = 249,104,802,816
  5. Step 5: Solve for x
    x = 249,104,802,816/326,236.50
  6. Step 6: Final answer
    x = 763,571.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.