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Finding the Third Proportional to 329,030 and 682,954

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Solution

The third proportional to 329,030 and 682,954 is: 1,417,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,030 : 682,954 = 682,954 : x
  2. Step 2: Convert to fraction form
    329,030/682,954 = 682,954/x
  3. Step 3: Cross multiply
    329,030x = 682,954 × 682,954
  4. Step 4: Simplify right side
    329,030x = 466,426,166,116
  5. Step 5: Solve for x
    x = 466,426,166,116/329,030
  6. Step 6: Final answer
    x = 1,417,579.45

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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.