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Finding the Third Proportional to 271,755 and 406,984.50

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Solution

The third proportional to 271,755 and 406,984.50 is: 609,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,755 : 406,984.50 = 406,984.50 : x
  2. Step 2: Convert to fraction form
    271,755/406,984.50 = 406,984.50/x
  3. Step 3: Cross multiply
    271,755x = 406,984.50 × 406,984.50
  4. Step 4: Simplify right side
    271,755x = 165,636,383,240.25
  5. Step 5: Solve for x
    x = 165,636,383,240.25/271,755
  6. Step 6: Final answer
    x = 609,506.30

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