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Finding the Third Proportional to 344,036 and 729,868

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Solution

The third proportional to 344,036 and 729,868 is: 1,548,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,036 : 729,868 = 729,868 : x
  2. Step 2: Convert to fraction form
    344,036/729,868 = 729,868/x
  3. Step 3: Cross multiply
    344,036x = 729,868 × 729,868
  4. Step 4: Simplify right side
    344,036x = 532,707,297,424
  5. Step 5: Solve for x
    x = 532,707,297,424/344,036
  6. Step 6: Final answer
    x = 1,548,405.68

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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.