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Finding the Third Proportional to 236,747.81 and 517,782.56

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Solution

The third proportional to 236,747.81 and 517,782.56 is: 1,132,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,747.81 : 517,782.56 = 517,782.56 : x
  2. Step 2: Convert to fraction form
    236,747.81/517,782.56 = 517,782.56/x
  3. Step 3: Cross multiply
    236,747.81x = 517,782.56 × 517,782.56
  4. Step 4: Simplify right side
    236,747.81x = 268,098,782,029.07
  5. Step 5: Solve for x
    x = 268,098,782,029.07/236,747.81
  6. Step 6: Final answer
    x = 1,132,423.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.