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Finding the Third Proportional to 326,955 and 499,936

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Solution

The third proportional to 326,955 and 499,936 is: 764,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,955 : 499,936 = 499,936 : x
  2. Step 2: Convert to fraction form
    326,955/499,936 = 499,936/x
  3. Step 3: Cross multiply
    326,955x = 499,936 × 499,936
  4. Step 4: Simplify right side
    326,955x = 249,936,004,096
  5. Step 5: Solve for x
    x = 249,936,004,096/326,955
  6. Step 6: Final answer
    x = 764,435.49

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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.