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Finding the Third Proportional to 271,756 and 590,335

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Solution

The third proportional to 271,756 and 590,335 is: 1,282,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,756 : 590,335 = 590,335 : x
  2. Step 2: Convert to fraction form
    271,756/590,335 = 590,335/x
  3. Step 3: Cross multiply
    271,756x = 590,335 × 590,335
  4. Step 4: Simplify right side
    271,756x = 348,495,412,225
  5. Step 5: Solve for x
    x = 348,495,412,225/271,756
  6. Step 6: Final answer
    x = 1,282,383.51

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Why These Related Problems?

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