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Finding the Third Proportional to 414,566.44 and 878,952.94

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Solution

The third proportional to 414,566.44 and 878,952.94 is: 1,863,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,566.44 : 878,952.94 = 878,952.94 : x
  2. Step 2: Convert to fraction form
    414,566.44/878,952.94 = 878,952.94/x
  3. Step 3: Cross multiply
    414,566.44x = 878,952.94 × 878,952.94
  4. Step 4: Simplify right side
    414,566.44x = 772,558,266,339.88
  5. Step 5: Solve for x
    x = 772,558,266,339.88/414,566.44
  6. Step 6: Final answer
    x = 1,863,533.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.