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Finding the Third Proportional to 236,679.75 and 513,486

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Solution

The third proportional to 236,679.75 and 513,486 is: 1,114,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,679.75 : 513,486 = 513,486 : x
  2. Step 2: Convert to fraction form
    236,679.75/513,486 = 513,486/x
  3. Step 3: Cross multiply
    236,679.75x = 513,486 × 513,486
  4. Step 4: Simplify right side
    236,679.75x = 263,667,872,196
  5. Step 5: Solve for x
    x = 263,667,872,196/236,679.75
  6. Step 6: Final answer
    x = 1,114,028.02

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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.