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Finding the Third Proportional to 271,608 and 597,360

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Solution

The third proportional to 271,608 and 597,360 is: 1,313,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608 : 597,360 = 597,360 : x
  2. Step 2: Convert to fraction form
    271,608/597,360 = 597,360/x
  3. Step 3: Cross multiply
    271,608x = 597,360 × 597,360
  4. Step 4: Simplify right side
    271,608x = 356,838,969,600
  5. Step 5: Solve for x
    x = 356,838,969,600/271,608
  6. Step 6: Final answer
    x = 1,313,801.40

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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.