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Finding the Third Proportional to 715,165.25 and 1,080,037.75

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Solution

The third proportional to 715,165.25 and 1,080,037.75 is: 1,631,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,165.25 : 1,080,037.75 = 1,080,037.75 : x
  2. Step 2: Convert to fraction form
    715,165.25/1,080,037.75 = 1,080,037.75/x
  3. Step 3: Cross multiply
    715,165.25x = 1,080,037.75 × 1,080,037.75
  4. Step 4: Simplify right side
    715,165.25x = 1,166,481,541,425.06
  5. Step 5: Solve for x
    x = 1,166,481,541,425.06/715,165.25
  6. Step 6: Final answer
    x = 1,631,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.