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Finding the Third Proportional to 311,943 and 638,636.25

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Solution

The third proportional to 311,943 and 638,636.25 is: 1,307,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 638,636.25 = 638,636.25 : x
  2. Step 2: Convert to fraction form
    311,943/638,636.25 = 638,636.25/x
  3. Step 3: Cross multiply
    311,943x = 638,636.25 × 638,636.25
  4. Step 4: Simplify right side
    311,943x = 407,856,259,814.06
  5. Step 5: Solve for x
    x = 407,856,259,814.06/311,943
  6. Step 6: Final answer
    x = 1,307,470.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.