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Finding the Third Proportional to 271,554 and 379,828.50

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Solution

The third proportional to 271,554 and 379,828.50 is: 531,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,554 : 379,828.50 = 379,828.50 : x
  2. Step 2: Convert to fraction form
    271,554/379,828.50 = 379,828.50/x
  3. Step 3: Cross multiply
    271,554x = 379,828.50 × 379,828.50
  4. Step 4: Simplify right side
    271,554x = 144,269,689,412.25
  5. Step 5: Solve for x
    x = 144,269,689,412.25/271,554
  6. Step 6: Final answer
    x = 531,274.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.