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Finding the Third Proportional to 237,991 and 500,525

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Solution

The third proportional to 237,991 and 500,525 is: 1,052,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,991 : 500,525 = 500,525 : x
  2. Step 2: Convert to fraction form
    237,991/500,525 = 500,525/x
  3. Step 3: Cross multiply
    237,991x = 500,525 × 500,525
  4. Step 4: Simplify right side
    237,991x = 250,525,275,625
  5. Step 5: Solve for x
    x = 250,525,275,625/237,991
  6. Step 6: Final answer
    x = 1,052,667.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.