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Finding the Third Proportional to 232,896 and 484,224

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Solution

The third proportional to 232,896 and 484,224 is: 1,006,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896 : 484,224 = 484,224 : x
  2. Step 2: Convert to fraction form
    232,896/484,224 = 484,224/x
  3. Step 3: Cross multiply
    232,896x = 484,224 × 484,224
  4. Step 4: Simplify right side
    232,896x = 234,472,882,176
  5. Step 5: Solve for x
    x = 234,472,882,176/232,896
  6. Step 6: Final answer
    x = 1,006,770.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.