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Finding the Third Proportional to 271,170 and 584,262

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Solution

The third proportional to 271,170 and 584,262 is: 1,258,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,170 : 584,262 = 584,262 : x
  2. Step 2: Convert to fraction form
    271,170/584,262 = 584,262/x
  3. Step 3: Cross multiply
    271,170x = 584,262 × 584,262
  4. Step 4: Simplify right side
    271,170x = 341,362,084,644
  5. Step 5: Solve for x
    x = 341,362,084,644/271,170
  6. Step 6: Final answer
    x = 1,258,849.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.