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Finding the Third Proportional to 414,919.13 and 619,722.56

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Solution

The third proportional to 414,919.13 and 619,722.56 is: 925,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,919.13 : 619,722.56 = 619,722.56 : x
  2. Step 2: Convert to fraction form
    414,919.13/619,722.56 = 619,722.56/x
  3. Step 3: Cross multiply
    414,919.13x = 619,722.56 × 619,722.56
  4. Step 4: Simplify right side
    414,919.13x = 384,056,054,471.57
  5. Step 5: Solve for x
    x = 384,056,054,471.57/414,919.13
  6. Step 6: Final answer
    x = 925,616.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.