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Finding the Third Proportional to 304,992.75 and 471,826.13

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Solution

The third proportional to 304,992.75 and 471,826.13 is: 729,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,992.75 : 471,826.13 = 471,826.13 : x
  2. Step 2: Convert to fraction form
    304,992.75/471,826.13 = 471,826.13/x
  3. Step 3: Cross multiply
    304,992.75x = 471,826.13 × 471,826.13
  4. Step 4: Simplify right side
    304,992.75x = 222,619,892,232.52
  5. Step 5: Solve for x
    x = 222,619,892,232.52/304,992.75
  6. Step 6: Final answer
    x = 729,918.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.