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Finding the Third Proportional to 277,568.50 and 594,472.75

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Solution

The third proportional to 277,568.50 and 594,472.75 is: 1,273,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,568.50 : 594,472.75 = 594,472.75 : x
  2. Step 2: Convert to fraction form
    277,568.50/594,472.75 = 594,472.75/x
  3. Step 3: Cross multiply
    277,568.50x = 594,472.75 × 594,472.75
  4. Step 4: Simplify right side
    277,568.50x = 353,397,850,492.56
  5. Step 5: Solve for x
    x = 353,397,850,492.56/277,568.50
  6. Step 6: Final answer
    x = 1,273,191.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.