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Finding the Third Proportional to 236,232 and 511,832

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Solution

The third proportional to 236,232 and 511,832 is: 1,108,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,232 : 511,832 = 511,832 : x
  2. Step 2: Convert to fraction form
    236,232/511,832 = 511,832/x
  3. Step 3: Cross multiply
    236,232x = 511,832 × 511,832
  4. Step 4: Simplify right side
    236,232x = 261,971,996,224
  5. Step 5: Solve for x
    x = 261,971,996,224/236,232
  6. Step 6: Final answer
    x = 1,108,960.67

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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.