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Finding the Third Proportional to 280,928 and 594,896

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Solution

The third proportional to 280,928 and 594,896 is: 1,259,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,928 : 594,896 = 594,896 : x
  2. Step 2: Convert to fraction form
    280,928/594,896 = 594,896/x
  3. Step 3: Cross multiply
    280,928x = 594,896 × 594,896
  4. Step 4: Simplify right side
    280,928x = 353,901,250,816
  5. Step 5: Solve for x
    x = 353,901,250,816/280,928
  6. Step 6: Final answer
    x = 1,259,757.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.