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Finding the Third Proportional to 271,932 and 597,636

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Solution

The third proportional to 271,932 and 597,636 is: 1,313,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932 : 597,636 = 597,636 : x
  2. Step 2: Convert to fraction form
    271,932/597,636 = 597,636/x
  3. Step 3: Cross multiply
    271,932x = 597,636 × 597,636
  4. Step 4: Simplify right side
    271,932x = 357,168,788,496
  5. Step 5: Solve for x
    x = 357,168,788,496/271,932
  6. Step 6: Final answer
    x = 1,313,448.91

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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.