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Finding the Third Proportional to 311,746 and 675,956

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Solution

The third proportional to 311,746 and 675,956 is: 1,465,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,746 : 675,956 = 675,956 : x
  2. Step 2: Convert to fraction form
    311,746/675,956 = 675,956/x
  3. Step 3: Cross multiply
    311,746x = 675,956 × 675,956
  4. Step 4: Simplify right side
    311,746x = 456,916,513,936
  5. Step 5: Solve for x
    x = 456,916,513,936/311,746
  6. Step 6: Final answer
    x = 1,465,669.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.