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Finding the Third Proportional to 234,561.45 and 511,222.64

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Solution

The third proportional to 234,561.45 and 511,222.64 is: 1,114,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,561.45 : 511,222.64 = 511,222.64 : x
  2. Step 2: Convert to fraction form
    234,561.45/511,222.64 = 511,222.64/x
  3. Step 3: Cross multiply
    234,561.45x = 511,222.64 × 511,222.64
  4. Step 4: Simplify right side
    234,561.45x = 261,348,588,287.60
  5. Step 5: Solve for x
    x = 261,348,588,287.60/234,561.45
  6. Step 6: Final answer
    x = 1,114,200.96

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Why These Related Problems?

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