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Finding the Third Proportional to 369,928 and 560,256

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Solution

The third proportional to 369,928 and 560,256 is: 848,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,928 : 560,256 = 560,256 : x
  2. Step 2: Convert to fraction form
    369,928/560,256 = 560,256/x
  3. Step 3: Cross multiply
    369,928x = 560,256 × 560,256
  4. Step 4: Simplify right side
    369,928x = 313,886,785,536
  5. Step 5: Solve for x
    x = 313,886,785,536/369,928
  6. Step 6: Final answer
    x = 848,507.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.