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Finding the Third Proportional to 271,082 and 406,623

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Solution

The third proportional to 271,082 and 406,623 is: 609,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,082 : 406,623 = 406,623 : x
  2. Step 2: Convert to fraction form
    271,082/406,623 = 406,623/x
  3. Step 3: Cross multiply
    271,082x = 406,623 × 406,623
  4. Step 4: Simplify right side
    271,082x = 165,342,264,129
  5. Step 5: Solve for x
    x = 165,342,264,129/271,082
  6. Step 6: Final answer
    x = 609,934.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.