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Finding the Third Proportional to 248,786 and 374,973

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Solution

The third proportional to 248,786 and 374,973 is: 565,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,786 : 374,973 = 374,973 : x
  2. Step 2: Convert to fraction form
    248,786/374,973 = 374,973/x
  3. Step 3: Cross multiply
    248,786x = 374,973 × 374,973
  4. Step 4: Simplify right side
    248,786x = 140,604,750,729
  5. Step 5: Solve for x
    x = 140,604,750,729/248,786
  6. Step 6: Final answer
    x = 565,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.