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Finding the Third Proportional to 232,904 and 484,240

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Solution

The third proportional to 232,904 and 484,240 is: 1,006,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,904 : 484,240 = 484,240 : x
  2. Step 2: Convert to fraction form
    232,904/484,240 = 484,240/x
  3. Step 3: Cross multiply
    232,904x = 484,240 × 484,240
  4. Step 4: Simplify right side
    232,904x = 234,488,377,600
  5. Step 5: Solve for x
    x = 234,488,377,600/232,904
  6. Step 6: Final answer
    x = 1,006,802.71

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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.