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Finding the Third Proportional to 326,907 and 499,869

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Solution

The third proportional to 326,907 and 499,869 is: 764,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,907 : 499,869 = 499,869 : x
  2. Step 2: Convert to fraction form
    326,907/499,869 = 499,869/x
  3. Step 3: Cross multiply
    326,907x = 499,869 × 499,869
  4. Step 4: Simplify right side
    326,907x = 249,869,017,161
  5. Step 5: Solve for x
    x = 249,869,017,161/326,907
  6. Step 6: Final answer
    x = 764,342.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.