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Finding the Third Proportional to 349,021 and 759,845

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Solution

The third proportional to 349,021 and 759,845 is: 1,654,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,021 : 759,845 = 759,845 : x
  2. Step 2: Convert to fraction form
    349,021/759,845 = 759,845/x
  3. Step 3: Cross multiply
    349,021x = 759,845 × 759,845
  4. Step 4: Simplify right side
    349,021x = 577,364,424,025
  5. Step 5: Solve for x
    x = 577,364,424,025/349,021
  6. Step 6: Final answer
    x = 1,654,239.79

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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.