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Finding the Third Proportional to 248,348.25 and 552,910.50

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Solution

The third proportional to 248,348.25 and 552,910.50 is: 1,230,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,348.25 : 552,910.50 = 552,910.50 : x
  2. Step 2: Convert to fraction form
    248,348.25/552,910.50 = 552,910.50/x
  3. Step 3: Cross multiply
    248,348.25x = 552,910.50 × 552,910.50
  4. Step 4: Simplify right side
    248,348.25x = 305,710,021,010.25
  5. Step 5: Solve for x
    x = 305,710,021,010.25/248,348.25
  6. Step 6: Final answer
    x = 1,230,973.12

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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.