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Finding the Third Proportional to 328,800 and 718,480

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Solution

The third proportional to 328,800 and 718,480 is: 1,569,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,800 : 718,480 = 718,480 : x
  2. Step 2: Convert to fraction form
    328,800/718,480 = 718,480/x
  3. Step 3: Cross multiply
    328,800x = 718,480 × 718,480
  4. Step 4: Simplify right side
    328,800x = 516,213,510,400
  5. Step 5: Solve for x
    x = 516,213,510,400/328,800
  6. Step 6: Final answer
    x = 1,569,992.43

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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.