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Finding the Third Proportional to 271,588 and 597,320

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Solution

The third proportional to 271,588 and 597,320 is: 1,313,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,588 : 597,320 = 597,320 : x
  2. Step 2: Convert to fraction form
    271,588/597,320 = 597,320/x
  3. Step 3: Cross multiply
    271,588x = 597,320 × 597,320
  4. Step 4: Simplify right side
    271,588x = 356,791,182,400
  5. Step 5: Solve for x
    x = 356,791,182,400/271,588
  6. Step 6: Final answer
    x = 1,313,722.19

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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.