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Finding the Third Proportional to 326,964 and 499,950

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Solution

The third proportional to 326,964 and 499,950 is: 764,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,964 : 499,950 = 499,950 : x
  2. Step 2: Convert to fraction form
    326,964/499,950 = 499,950/x
  3. Step 3: Cross multiply
    326,964x = 499,950 × 499,950
  4. Step 4: Simplify right side
    326,964x = 249,950,002,500
  5. Step 5: Solve for x
    x = 249,950,002,500/326,964
  6. Step 6: Final answer
    x = 764,457.26

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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.