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Finding the Third Proportional to 328,814 and 718,504

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Solution

The third proportional to 328,814 and 718,504 is: 1,570,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814 : 718,504 = 718,504 : x
  2. Step 2: Convert to fraction form
    328,814/718,504 = 718,504/x
  3. Step 3: Cross multiply
    328,814x = 718,504 × 718,504
  4. Step 4: Simplify right side
    328,814x = 516,247,998,016
  5. Step 5: Solve for x
    x = 516,247,998,016/328,814
  6. Step 6: Final answer
    x = 1,570,030.47

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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.