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Finding the Third Proportional to 414,384.75 and 584,901.56

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Solution

The third proportional to 414,384.75 and 584,901.56 is: 825,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,384.75 : 584,901.56 = 584,901.56 : x
  2. Step 2: Convert to fraction form
    414,384.75/584,901.56 = 584,901.56/x
  3. Step 3: Cross multiply
    414,384.75x = 584,901.56 × 584,901.56
  4. Step 4: Simplify right side
    414,384.75x = 342,109,837,814.94
  5. Step 5: Solve for x
    x = 342,109,837,814.94/414,384.75
  6. Step 6: Final answer
    x = 825,585.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.