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Finding the Third Proportional to 404,752 and 888,232

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Solution

The third proportional to 404,752 and 888,232 is: 1,949,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,752 : 888,232 = 888,232 : x
  2. Step 2: Convert to fraction form
    404,752/888,232 = 888,232/x
  3. Step 3: Cross multiply
    404,752x = 888,232 × 888,232
  4. Step 4: Simplify right side
    404,752x = 788,956,085,824
  5. Step 5: Solve for x
    x = 788,956,085,824/404,752
  6. Step 6: Final answer
    x = 1,949,233.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.