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Finding the Third Proportional to 339,244 and 740,036

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Solution

The third proportional to 339,244 and 740,036 is: 1,614,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,244 : 740,036 = 740,036 : x
  2. Step 2: Convert to fraction form
    339,244/740,036 = 740,036/x
  3. Step 3: Cross multiply
    339,244x = 740,036 × 740,036
  4. Step 4: Simplify right side
    339,244x = 547,653,281,296
  5. Step 5: Solve for x
    x = 547,653,281,296/339,244
  6. Step 6: Final answer
    x = 1,614,334.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.