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Finding the Third Proportional to 273,376 and 574,384

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Solution

The third proportional to 273,376 and 574,384 is: 1,206,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,376 : 574,384 = 574,384 : x
  2. Step 2: Convert to fraction form
    273,376/574,384 = 574,384/x
  3. Step 3: Cross multiply
    273,376x = 574,384 × 574,384
  4. Step 4: Simplify right side
    273,376x = 329,916,979,456
  5. Step 5: Solve for x
    x = 329,916,979,456/273,376
  6. Step 6: Final answer
    x = 1,206,824.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.