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Finding the Third Proportional to 344,169 and 738,162

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Solution

The third proportional to 344,169 and 738,162 is: 1,583,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,169 : 738,162 = 738,162 : x
  2. Step 2: Convert to fraction form
    344,169/738,162 = 738,162/x
  3. Step 3: Cross multiply
    344,169x = 738,162 × 738,162
  4. Step 4: Simplify right side
    344,169x = 544,883,138,244
  5. Step 5: Solve for x
    x = 544,883,138,244/344,169
  6. Step 6: Final answer
    x = 1,583,184.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.