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Finding the Third Proportional to 271,281 and 589,263

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Solution

The third proportional to 271,281 and 589,263 is: 1,279,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,281 : 589,263 = 589,263 : x
  2. Step 2: Convert to fraction form
    271,281/589,263 = 589,263/x
  3. Step 3: Cross multiply
    271,281x = 589,263 × 589,263
  4. Step 4: Simplify right side
    271,281x = 347,230,883,169
  5. Step 5: Solve for x
    x = 347,230,883,169/271,281
  6. Step 6: Final answer
    x = 1,279,967.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.