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Finding the Third Proportional to 344,068 and 475,439

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Solution

The third proportional to 344,068 and 475,439 is: 656,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,068 : 475,439 = 475,439 : x
  2. Step 2: Convert to fraction form
    344,068/475,439 = 475,439/x
  3. Step 3: Cross multiply
    344,068x = 475,439 × 475,439
  4. Step 4: Simplify right side
    344,068x = 226,042,242,721
  5. Step 5: Solve for x
    x = 226,042,242,721/344,068
  6. Step 6: Final answer
    x = 656,969.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.