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Finding the Third Proportional to 271,678 and 597,140

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Solution

The third proportional to 271,678 and 597,140 is: 1,312,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,678 : 597,140 = 597,140 : x
  2. Step 2: Convert to fraction form
    271,678/597,140 = 597,140/x
  3. Step 3: Cross multiply
    271,678x = 597,140 × 597,140
  4. Step 4: Simplify right side
    271,678x = 356,576,179,600
  5. Step 5: Solve for x
    x = 356,576,179,600/271,678
  6. Step 6: Final answer
    x = 1,312,495.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.