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Finding the Third Proportional to 234,565 and 511,231

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Solution

The third proportional to 234,565 and 511,231 is: 1,114,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,565 : 511,231 = 511,231 : x
  2. Step 2: Convert to fraction form
    234,565/511,231 = 511,231/x
  3. Step 3: Cross multiply
    234,565x = 511,231 × 511,231
  4. Step 4: Simplify right side
    234,565x = 261,357,135,361
  5. Step 5: Solve for x
    x = 261,357,135,361/234,565
  6. Step 6: Final answer
    x = 1,114,220.52

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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.