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Finding the Third Proportional to 191,568.94 and 410,662.69

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Solution

The third proportional to 191,568.94 and 410,662.69 is: 880,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568.94 : 410,662.69 = 410,662.69 : x
  2. Step 2: Convert to fraction form
    191,568.94/410,662.69 = 410,662.69/x
  3. Step 3: Cross multiply
    191,568.94x = 410,662.69 × 410,662.69
  4. Step 4: Simplify right side
    191,568.94x = 168,643,842,904.72
  5. Step 5: Solve for x
    x = 168,643,842,904.72/191,568.94
  6. Step 6: Final answer
    x = 880,329.79

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