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Finding the Third Proportional to 344,256 and 495,828

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Solution

The third proportional to 344,256 and 495,828 is: 714,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,256 : 495,828 = 495,828 : x
  2. Step 2: Convert to fraction form
    344,256/495,828 = 495,828/x
  3. Step 3: Cross multiply
    344,256x = 495,828 × 495,828
  4. Step 4: Simplify right side
    344,256x = 245,845,405,584
  5. Step 5: Solve for x
    x = 245,845,405,584/344,256
  6. Step 6: Final answer
    x = 714,135.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.