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Finding the Third Proportional to 259,091.75 and 560,623

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Solution

The third proportional to 259,091.75 and 560,623 is: 1,213,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,091.75 : 560,623 = 560,623 : x
  2. Step 2: Convert to fraction form
    259,091.75/560,623 = 560,623/x
  3. Step 3: Cross multiply
    259,091.75x = 560,623 × 560,623
  4. Step 4: Simplify right side
    259,091.75x = 314,298,148,129
  5. Step 5: Solve for x
    x = 314,298,148,129/259,091.75
  6. Step 6: Final answer
    x = 1,213,076.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.