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Finding the Third Proportional to 271,784.50 and 639,492

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Solution

The third proportional to 271,784.50 and 639,492 is: 1,504,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,784.50 : 639,492 = 639,492 : x
  2. Step 2: Convert to fraction form
    271,784.50/639,492 = 639,492/x
  3. Step 3: Cross multiply
    271,784.50x = 639,492 × 639,492
  4. Step 4: Simplify right side
    271,784.50x = 408,950,018,064
  5. Step 5: Solve for x
    x = 408,950,018,064/271,784.50
  6. Step 6: Final answer
    x = 1,504,684.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.