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Finding the Third Proportional to 271,370 and 591,007

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Solution

The third proportional to 271,370 and 591,007 is: 1,287,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,370 : 591,007 = 591,007 : x
  2. Step 2: Convert to fraction form
    271,370/591,007 = 591,007/x
  3. Step 3: Cross multiply
    271,370x = 591,007 × 591,007
  4. Step 4: Simplify right side
    271,370x = 349,289,274,049
  5. Step 5: Solve for x
    x = 349,289,274,049/271,370
  6. Step 6: Final answer
    x = 1,287,132.97

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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.