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Finding the Third Proportional to 631,200 and 887,824

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Solution

The third proportional to 631,200 and 887,824 is: 1,248,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,200 : 887,824 = 887,824 : x
  2. Step 2: Convert to fraction form
    631,200/887,824 = 887,824/x
  3. Step 3: Cross multiply
    631,200x = 887,824 × 887,824
  4. Step 4: Simplify right side
    631,200x = 788,231,454,976
  5. Step 5: Solve for x
    x = 788,231,454,976/631,200
  6. Step 6: Final answer
    x = 1,248,782.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.