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Finding the Third Proportional to 441,232 and 952,448

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Solution

The third proportional to 441,232 and 952,448 is: 2,055,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,232 : 952,448 = 952,448 : x
  2. Step 2: Convert to fraction form
    441,232/952,448 = 952,448/x
  3. Step 3: Cross multiply
    441,232x = 952,448 × 952,448
  4. Step 4: Simplify right side
    441,232x = 907,157,192,704
  5. Step 5: Solve for x
    x = 907,157,192,704/441,232
  6. Step 6: Final answer
    x = 2,055,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.