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Finding the Third Proportional to 237,099 and 513,546

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Solution

The third proportional to 237,099 and 513,546 is: 1,112,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,099 : 513,546 = 513,546 : x
  2. Step 2: Convert to fraction form
    237,099/513,546 = 513,546/x
  3. Step 3: Cross multiply
    237,099x = 513,546 × 513,546
  4. Step 4: Simplify right side
    237,099x = 263,729,494,116
  5. Step 5: Solve for x
    x = 263,729,494,116/237,099
  6. Step 6: Final answer
    x = 1,112,318.04

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Why These Related Problems?

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