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Finding the Third Proportional to 373,422 and 593,721

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Solution

The third proportional to 373,422 and 593,721 is: 943,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,422 : 593,721 = 593,721 : x
  2. Step 2: Convert to fraction form
    373,422/593,721 = 593,721/x
  3. Step 3: Cross multiply
    373,422x = 593,721 × 593,721
  4. Step 4: Simplify right side
    373,422x = 352,504,625,841
  5. Step 5: Solve for x
    x = 352,504,625,841/373,422
  6. Step 6: Final answer
    x = 943,984.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.