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Finding the Third Proportional to 414,550.41 and 878,925.94

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Solution

The third proportional to 414,550.41 and 878,925.94 is: 1,863,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,550.41 : 878,925.94 = 878,925.94 : x
  2. Step 2: Convert to fraction form
    414,550.41/878,925.94 = 878,925.94/x
  3. Step 3: Cross multiply
    414,550.41x = 878,925.94 × 878,925.94
  4. Step 4: Simplify right side
    414,550.41x = 772,510,803,610.25
  5. Step 5: Solve for x
    x = 772,510,803,610.25/414,550.41
  6. Step 6: Final answer
    x = 1,863,490.64

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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.