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Finding the Third Proportional to 248,712.75 and 532,883.25

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Solution

The third proportional to 248,712.75 and 532,883.25 is: 1,141,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,712.75 : 532,883.25 = 532,883.25 : x
  2. Step 2: Convert to fraction form
    248,712.75/532,883.25 = 532,883.25/x
  3. Step 3: Cross multiply
    248,712.75x = 532,883.25 × 532,883.25
  4. Step 4: Simplify right side
    248,712.75x = 283,964,558,130.56
  5. Step 5: Solve for x
    x = 283,964,558,130.56/248,712.75
  6. Step 6: Final answer
    x = 1,141,737.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.