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Finding the Third Proportional to 271,235 and 590,688

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Solution

The third proportional to 271,235 and 590,688 is: 1,286,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,235 : 590,688 = 590,688 : x
  2. Step 2: Convert to fraction form
    271,235/590,688 = 590,688/x
  3. Step 3: Cross multiply
    271,235x = 590,688 × 590,688
  4. Step 4: Simplify right side
    271,235x = 348,912,313,344
  5. Step 5: Solve for x
    x = 348,912,313,344/271,235
  6. Step 6: Final answer
    x = 1,286,383.81

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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.