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Finding the Third Proportional to 371,890 and 590,992

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Solution

The third proportional to 371,890 and 590,992 is: 939,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,890 : 590,992 = 590,992 : x
  2. Step 2: Convert to fraction form
    371,890/590,992 = 590,992/x
  3. Step 3: Cross multiply
    371,890x = 590,992 × 590,992
  4. Step 4: Simplify right side
    371,890x = 349,271,544,064
  5. Step 5: Solve for x
    x = 349,271,544,064/371,890
  6. Step 6: Final answer
    x = 939,179.71

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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.