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Finding the Third Proportional to 237,987 and 519,383.25

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Solution

The third proportional to 237,987 and 519,383.25 is: 1,133,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,987 : 519,383.25 = 519,383.25 : x
  2. Step 2: Convert to fraction form
    237,987/519,383.25 = 519,383.25/x
  3. Step 3: Cross multiply
    237,987x = 519,383.25 × 519,383.25
  4. Step 4: Simplify right side
    237,987x = 269,758,960,380.56
  5. Step 5: Solve for x
    x = 269,758,960,380.56/237,987
  6. Step 6: Final answer
    x = 1,133,502.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.