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Finding the Third Proportional to 277,568 and 594,471.50

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Solution

The third proportional to 277,568 and 594,471.50 is: 1,273,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,568 : 594,471.50 = 594,471.50 : x
  2. Step 2: Convert to fraction form
    277,568/594,471.50 = 594,471.50/x
  3. Step 3: Cross multiply
    277,568x = 594,471.50 × 594,471.50
  4. Step 4: Simplify right side
    277,568x = 353,396,364,312.25
  5. Step 5: Solve for x
    x = 353,396,364,312.25/277,568
  6. Step 6: Final answer
    x = 1,273,188.42

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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.