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Finding the Third Proportional to 294,678 and 629,586

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Solution

The third proportional to 294,678 and 629,586 is: 1,345,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,678 : 629,586 = 629,586 : x
  2. Step 2: Convert to fraction form
    294,678/629,586 = 629,586/x
  3. Step 3: Cross multiply
    294,678x = 629,586 × 629,586
  4. Step 4: Simplify right side
    294,678x = 396,378,531,396
  5. Step 5: Solve for x
    x = 396,378,531,396/294,678
  6. Step 6: Final answer
    x = 1,345,124.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.