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Finding the Third Proportional to 326,906 and 499,867

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Solution

The third proportional to 326,906 and 499,867 is: 764,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,906 : 499,867 = 499,867 : x
  2. Step 2: Convert to fraction form
    326,906/499,867 = 499,867/x
  3. Step 3: Cross multiply
    326,906x = 499,867 × 499,867
  4. Step 4: Simplify right side
    326,906x = 249,867,017,689
  5. Step 5: Solve for x
    x = 249,867,017,689/326,906
  6. Step 6: Final answer
    x = 764,339.04

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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.