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Finding the Third Proportional to 271,634 and 590,494

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Solution

The third proportional to 271,634 and 590,494 is: 1,283,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,634 : 590,494 = 590,494 : x
  2. Step 2: Convert to fraction form
    271,634/590,494 = 590,494/x
  3. Step 3: Cross multiply
    271,634x = 590,494 × 590,494
  4. Step 4: Simplify right side
    271,634x = 348,683,164,036
  5. Step 5: Solve for x
    x = 348,683,164,036/271,634
  6. Step 6: Final answer
    x = 1,283,650.66

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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.