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Finding the Third Proportional to 271,710 and 597,204

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Solution

The third proportional to 271,710 and 597,204 is: 1,312,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,710 : 597,204 = 597,204 : x
  2. Step 2: Convert to fraction form
    271,710/597,204 = 597,204/x
  3. Step 3: Cross multiply
    271,710x = 597,204 × 597,204
  4. Step 4: Simplify right side
    271,710x = 356,652,617,616
  5. Step 5: Solve for x
    x = 356,652,617,616/271,710
  6. Step 6: Final answer
    x = 1,312,622.35

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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.