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Finding the Third Proportional to 236,757.94 and 517,807.69

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Solution

The third proportional to 236,757.94 and 517,807.69 is: 1,132,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,757.94 : 517,807.69 = 517,807.69 : x
  2. Step 2: Convert to fraction form
    236,757.94/517,807.69 = 517,807.69/x
  3. Step 3: Cross multiply
    236,757.94x = 517,807.69 × 517,807.69
  4. Step 4: Simplify right side
    236,757.94x = 268,124,801,234.10
  5. Step 5: Solve for x
    x = 268,124,801,234.10/236,757.94
  6. Step 6: Final answer
    x = 1,132,484.95

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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.