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Finding the Third Proportional to 326,940 and 499,914

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Solution

The third proportional to 326,940 and 499,914 is: 764,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,940 : 499,914 = 499,914 : x
  2. Step 2: Convert to fraction form
    326,940/499,914 = 499,914/x
  3. Step 3: Cross multiply
    326,940x = 499,914 × 499,914
  4. Step 4: Simplify right side
    326,940x = 249,914,007,396
  5. Step 5: Solve for x
    x = 249,914,007,396/326,940
  6. Step 6: Final answer
    x = 764,403.28

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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.