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Finding the Third Proportional to 271,596 and 591,768

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Solution

The third proportional to 271,596 and 591,768 is: 1,289,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,596 : 591,768 = 591,768 : x
  2. Step 2: Convert to fraction form
    271,596/591,768 = 591,768/x
  3. Step 3: Cross multiply
    271,596x = 591,768 × 591,768
  4. Step 4: Simplify right side
    271,596x = 350,189,365,824
  5. Step 5: Solve for x
    x = 350,189,365,824/271,596
  6. Step 6: Final answer
    x = 1,289,376.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.