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Finding the Third Proportional to 326,898 and 499,860

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Solution

The third proportional to 326,898 and 499,860 is: 764,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,898 : 499,860 = 499,860 : x
  2. Step 2: Convert to fraction form
    326,898/499,860 = 499,860/x
  3. Step 3: Cross multiply
    326,898x = 499,860 × 499,860
  4. Step 4: Simplify right side
    326,898x = 249,860,019,600
  5. Step 5: Solve for x
    x = 249,860,019,600/326,898
  6. Step 6: Final answer
    x = 764,336.34

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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.