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Finding the Third Proportional to 244,858 and 346,783

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Solution

The third proportional to 244,858 and 346,783 is: 491,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,858 : 346,783 = 346,783 : x
  2. Step 2: Convert to fraction form
    244,858/346,783 = 346,783/x
  3. Step 3: Cross multiply
    244,858x = 346,783 × 346,783
  4. Step 4: Simplify right side
    244,858x = 120,258,449,089
  5. Step 5: Solve for x
    x = 120,258,449,089/244,858
  6. Step 6: Final answer
    x = 491,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.