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Finding the Third Proportional to 234,612 and 511,564

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Solution

The third proportional to 234,612 and 511,564 is: 1,115,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,612 : 511,564 = 511,564 : x
  2. Step 2: Convert to fraction form
    234,612/511,564 = 511,564/x
  3. Step 3: Cross multiply
    234,612x = 511,564 × 511,564
  4. Step 4: Simplify right side
    234,612x = 261,697,726,096
  5. Step 5: Solve for x
    x = 261,697,726,096/234,612
  6. Step 6: Final answer
    x = 1,115,449.02

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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.