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Finding the Third Proportional to 373,742 and 587,398

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Solution

The third proportional to 373,742 and 587,398 is: 923,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,742 : 587,398 = 587,398 : x
  2. Step 2: Convert to fraction form
    373,742/587,398 = 587,398/x
  3. Step 3: Cross multiply
    373,742x = 587,398 × 587,398
  4. Step 4: Simplify right side
    373,742x = 345,036,410,404
  5. Step 5: Solve for x
    x = 345,036,410,404/373,742
  6. Step 6: Final answer
    x = 923,194.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.