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Finding the Third Proportional to 328,812 and 718,500

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Solution

The third proportional to 328,812 and 718,500 is: 1,570,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,812 : 718,500 = 718,500 : x
  2. Step 2: Convert to fraction form
    328,812/718,500 = 718,500/x
  3. Step 3: Cross multiply
    328,812x = 718,500 × 718,500
  4. Step 4: Simplify right side
    328,812x = 516,242,250,000
  5. Step 5: Solve for x
    x = 516,242,250,000/328,812
  6. Step 6: Final answer
    x = 1,570,022.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.