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Finding the Third Proportional to 311,943 and 638,664

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Solution

The third proportional to 311,943 and 638,664 is: 1,307,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 638,664 = 638,664 : x
  2. Step 2: Convert to fraction form
    311,943/638,664 = 638,664/x
  3. Step 3: Cross multiply
    311,943x = 638,664 × 638,664
  4. Step 4: Simplify right side
    311,943x = 407,891,704,896
  5. Step 5: Solve for x
    x = 407,891,704,896/311,943
  6. Step 6: Final answer
    x = 1,307,584.09

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Why These Related Problems?

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