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Finding the Third Proportional to 329,229 and 718,284.38

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Solution

The third proportional to 329,229 and 718,284.38 is: 1,567,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,229 : 718,284.38 = 718,284.38 : x
  2. Step 2: Convert to fraction form
    329,229/718,284.38 = 718,284.38/x
  3. Step 3: Cross multiply
    329,229x = 718,284.38 × 718,284.38
  4. Step 4: Simplify right side
    329,229x = 515,932,443,369.14
  5. Step 5: Solve for x
    x = 515,932,443,369.14/329,229
  6. Step 6: Final answer
    x = 1,567,092.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.