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Finding the Third Proportional to 397,554 and 616,257

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Solution

The third proportional to 397,554 and 616,257 is: 955,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,554 : 616,257 = 616,257 : x
  2. Step 2: Convert to fraction form
    397,554/616,257 = 616,257/x
  3. Step 3: Cross multiply
    397,554x = 616,257 × 616,257
  4. Step 4: Simplify right side
    397,554x = 379,772,690,049
  5. Step 5: Solve for x
    x = 379,772,690,049/397,554
  6. Step 6: Final answer
    x = 955,273.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.