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Finding the Third Proportional to 504,872.50 and 1,080,680.50

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Solution

The third proportional to 504,872.50 and 1,080,680.50 is: 2,313,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,872.50 : 1,080,680.50 = 1,080,680.50 : x
  2. Step 2: Convert to fraction form
    504,872.50/1,080,680.50 = 1,080,680.50/x
  3. Step 3: Cross multiply
    504,872.50x = 1,080,680.50 × 1,080,680.50
  4. Step 4: Simplify right side
    504,872.50x = 1,167,870,343,080.25
  5. Step 5: Solve for x
    x = 1,167,870,343,080.25/504,872.50
  6. Step 6: Final answer
    x = 2,313,198.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.