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Finding the Third Proportional to 326,938 and 499,912

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Solution

The third proportional to 326,938 and 499,912 is: 764,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,938 : 499,912 = 499,912 : x
  2. Step 2: Convert to fraction form
    326,938/499,912 = 499,912/x
  3. Step 3: Cross multiply
    326,938x = 499,912 × 499,912
  4. Step 4: Simplify right side
    326,938x = 249,912,007,744
  5. Step 5: Solve for x
    x = 249,912,007,744/326,938
  6. Step 6: Final answer
    x = 764,401.84

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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.