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Finding the Third Proportional to 288,034.73 and 594,675.42

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Solution

The third proportional to 288,034.73 and 594,675.42 is: 1,227,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,034.73 : 594,675.42 = 594,675.42 : x
  2. Step 2: Convert to fraction form
    288,034.73/594,675.42 = 594,675.42/x
  3. Step 3: Cross multiply
    288,034.73x = 594,675.42 × 594,675.42
  4. Step 4: Simplify right side
    288,034.73x = 353,638,857,382.21
  5. Step 5: Solve for x
    x = 353,638,857,382.21/288,034.73
  6. Step 6: Final answer
    x = 1,227,764.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.