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Finding the Third Proportional to 304,632.56 and 471,460.92

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Solution

The third proportional to 304,632.56 and 471,460.92 is: 729,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,632.56 : 471,460.92 = 471,460.92 : x
  2. Step 2: Convert to fraction form
    304,632.56/471,460.92 = 471,460.92/x
  3. Step 3: Cross multiply
    304,632.56x = 471,460.92 × 471,460.92
  4. Step 4: Simplify right side
    304,632.56x = 222,275,400,855.23
  5. Step 5: Solve for x
    x = 222,275,400,855.23/304,632.56
  6. Step 6: Final answer
    x = 729,650.83

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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.