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Finding the Third Proportional to 271,428 and 550,144.50

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Solution

The third proportional to 271,428 and 550,144.50 is: 1,115,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428 : 550,144.50 = 550,144.50 : x
  2. Step 2: Convert to fraction form
    271,428/550,144.50 = 550,144.50/x
  3. Step 3: Cross multiply
    271,428x = 550,144.50 × 550,144.50
  4. Step 4: Simplify right side
    271,428x = 302,658,970,880.25
  5. Step 5: Solve for x
    x = 302,658,970,880.25/271,428
  6. Step 6: Final answer
    x = 1,115,061.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.