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Finding the Third Proportional to 271,346 and 590,902

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Solution

The third proportional to 271,346 and 590,902 is: 1,286,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,346 : 590,902 = 590,902 : x
  2. Step 2: Convert to fraction form
    271,346/590,902 = 590,902/x
  3. Step 3: Cross multiply
    271,346x = 590,902 × 590,902
  4. Step 4: Simplify right side
    271,346x = 349,165,173,604
  5. Step 5: Solve for x
    x = 349,165,173,604/271,346
  6. Step 6: Final answer
    x = 1,286,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.