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Finding the Third Proportional to 271,966 and 597,768

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Solution

The third proportional to 271,966 and 597,768 is: 1,313,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,966 : 597,768 = 597,768 : x
  2. Step 2: Convert to fraction form
    271,966/597,768 = 597,768/x
  3. Step 3: Cross multiply
    271,966x = 597,768 × 597,768
  4. Step 4: Simplify right side
    271,966x = 357,326,581,824
  5. Step 5: Solve for x
    x = 357,326,581,824/271,966
  6. Step 6: Final answer
    x = 1,313,864.90

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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.