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Finding the Third Proportional to 259,098.75 and 560,637.56

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Solution

The third proportional to 259,098.75 and 560,637.56 is: 1,213,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.75 : 560,637.56 = 560,637.56 : x
  2. Step 2: Convert to fraction form
    259,098.75/560,637.56 = 560,637.56/x
  3. Step 3: Cross multiply
    259,098.75x = 560,637.56 × 560,637.56
  4. Step 4: Simplify right side
    259,098.75x = 314,314,476,485.94
  5. Step 5: Solve for x
    x = 314,314,476,485.94/259,098.75
  6. Step 6: Final answer
    x = 1,213,106.88

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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.