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Finding the Third Proportional to 336,072.94 and 725,628.38

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Solution

The third proportional to 336,072.94 and 725,628.38 is: 1,566,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,072.94 : 725,628.38 = 725,628.38 : x
  2. Step 2: Convert to fraction form
    336,072.94/725,628.38 = 725,628.38/x
  3. Step 3: Cross multiply
    336,072.94x = 725,628.38 × 725,628.38
  4. Step 4: Simplify right side
    336,072.94x = 526,536,538,605.14
  5. Step 5: Solve for x
    x = 526,536,538,605.14/336,072.94
  6. Step 6: Final answer
    x = 1,566,732.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.