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Finding the Third Proportional to 397,374 and 851,564

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Solution

The third proportional to 397,374 and 851,564 is: 1,824,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,374 : 851,564 = 851,564 : x
  2. Step 2: Convert to fraction form
    397,374/851,564 = 851,564/x
  3. Step 3: Cross multiply
    397,374x = 851,564 × 851,564
  4. Step 4: Simplify right side
    397,374x = 725,161,246,096
  5. Step 5: Solve for x
    x = 725,161,246,096/397,374
  6. Step 6: Final answer
    x = 1,824,883.48

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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.