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Finding the Third Proportional to 234,620 and 511,146

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Solution

The third proportional to 234,620 and 511,146 is: 1,113,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,620 : 511,146 = 511,146 : x
  2. Step 2: Convert to fraction form
    234,620/511,146 = 511,146/x
  3. Step 3: Cross multiply
    234,620x = 511,146 × 511,146
  4. Step 4: Simplify right side
    234,620x = 261,270,233,316
  5. Step 5: Solve for x
    x = 261,270,233,316/234,620
  6. Step 6: Final answer
    x = 1,113,588.92

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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.