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Finding the Third Proportional to 234,569 and 511,239

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Solution

The third proportional to 234,569 and 511,239 is: 1,114,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,569 : 511,239 = 511,239 : x
  2. Step 2: Convert to fraction form
    234,569/511,239 = 511,239/x
  3. Step 3: Cross multiply
    234,569x = 511,239 × 511,239
  4. Step 4: Simplify right side
    234,569x = 261,365,315,121
  5. Step 5: Solve for x
    x = 261,365,315,121/234,569
  6. Step 6: Final answer
    x = 1,114,236.39

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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.