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Finding the Third Proportional to 294,414 and 638,616

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Solution

The third proportional to 294,414 and 638,616 is: 1,385,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,414 : 638,616 = 638,616 : x
  2. Step 2: Convert to fraction form
    294,414/638,616 = 638,616/x
  3. Step 3: Cross multiply
    294,414x = 638,616 × 638,616
  4. Step 4: Simplify right side
    294,414x = 407,830,395,456
  5. Step 5: Solve for x
    x = 407,830,395,456/294,414
  6. Step 6: Final answer
    x = 1,385,227.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.