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Finding the Third Proportional to 326,954 and 499,935

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Solution

The third proportional to 326,954 and 499,935 is: 764,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,954 : 499,935 = 499,935 : x
  2. Step 2: Convert to fraction form
    326,954/499,935 = 499,935/x
  3. Step 3: Cross multiply
    326,954x = 499,935 × 499,935
  4. Step 4: Simplify right side
    326,954x = 249,935,004,225
  5. Step 5: Solve for x
    x = 249,935,004,225/326,954
  6. Step 6: Final answer
    x = 764,434.77

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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.