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Finding the Third Proportional to 244,698 and 344,595

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Solution

The third proportional to 244,698 and 344,595 is: 485,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,698 : 344,595 = 344,595 : x
  2. Step 2: Convert to fraction form
    244,698/344,595 = 344,595/x
  3. Step 3: Cross multiply
    244,698x = 344,595 × 344,595
  4. Step 4: Simplify right side
    244,698x = 118,745,714,025
  5. Step 5: Solve for x
    x = 118,745,714,025/244,698
  6. Step 6: Final answer
    x = 485,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.