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Finding the Third Proportional to 248,333 and 552,875

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Solution

The third proportional to 248,333 and 552,875 is: 1,230,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,333 : 552,875 = 552,875 : x
  2. Step 2: Convert to fraction form
    248,333/552,875 = 552,875/x
  3. Step 3: Cross multiply
    248,333x = 552,875 × 552,875
  4. Step 4: Simplify right side
    248,333x = 305,670,765,625
  5. Step 5: Solve for x
    x = 305,670,765,625/248,333
  6. Step 6: Final answer
    x = 1,230,890.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.