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Finding the Third Proportional to 274,554 and 503,544

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Solution

The third proportional to 274,554 and 503,544 is: 923,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,554 : 503,544 = 503,544 : x
  2. Step 2: Convert to fraction form
    274,554/503,544 = 503,544/x
  3. Step 3: Cross multiply
    274,554x = 503,544 × 503,544
  4. Step 4: Simplify right side
    274,554x = 253,556,559,936
  5. Step 5: Solve for x
    x = 253,556,559,936/274,554
  6. Step 6: Final answer
    x = 923,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.