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Finding the Third Proportional to 259,618.50 and 560,754.56

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Solution

The third proportional to 259,618.50 and 560,754.56 is: 1,211,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,618.50 : 560,754.56 = 560,754.56 : x
  2. Step 2: Convert to fraction form
    259,618.50/560,754.56 = 560,754.56/x
  3. Step 3: Cross multiply
    259,618.50x = 560,754.56 × 560,754.56
  4. Step 4: Simplify right side
    259,618.50x = 314,445,679,364.57
  5. Step 5: Solve for x
    x = 314,445,679,364.57/259,618.50
  6. Step 6: Final answer
    x = 1,211,183.64

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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.