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Finding the Third Proportional to 329,022 and 682,938

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Solution

The third proportional to 329,022 and 682,938 is: 1,417,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,022 : 682,938 = 682,938 : x
  2. Step 2: Convert to fraction form
    329,022/682,938 = 682,938/x
  3. Step 3: Cross multiply
    329,022x = 682,938 × 682,938
  4. Step 4: Simplify right side
    329,022x = 466,404,311,844
  5. Step 5: Solve for x
    x = 466,404,311,844/329,022
  6. Step 6: Final answer
    x = 1,417,547.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.