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Finding the Third Proportional to 344,682 and 729,106

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Solution

The third proportional to 344,682 and 729,106 is: 1,542,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,682 : 729,106 = 729,106 : x
  2. Step 2: Convert to fraction form
    344,682/729,106 = 729,106/x
  3. Step 3: Cross multiply
    344,682x = 729,106 × 729,106
  4. Step 4: Simplify right side
    344,682x = 531,595,559,236
  5. Step 5: Solve for x
    x = 531,595,559,236/344,682
  6. Step 6: Final answer
    x = 1,542,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.