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Finding the Third Proportional to 236,673.14 and 513,471.66

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Solution

The third proportional to 236,673.14 and 513,471.66 is: 1,113,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,673.14 : 513,471.66 = 513,471.66 : x
  2. Step 2: Convert to fraction form
    236,673.14/513,471.66 = 513,471.66/x
  3. Step 3: Cross multiply
    236,673.14x = 513,471.66 × 513,471.66
  4. Step 4: Simplify right side
    236,673.14x = 263,653,141,772.12
  5. Step 5: Solve for x
    x = 263,653,141,772.12/236,673.14
  6. Step 6: Final answer
    x = 1,113,996.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.