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Finding the Third Proportional to 234,604 and 511,560

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Solution

The third proportional to 234,604 and 511,560 is: 1,115,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,604 : 511,560 = 511,560 : x
  2. Step 2: Convert to fraction form
    234,604/511,560 = 511,560/x
  3. Step 3: Cross multiply
    234,604x = 511,560 × 511,560
  4. Step 4: Simplify right side
    234,604x = 261,693,633,600
  5. Step 5: Solve for x
    x = 261,693,633,600/234,604
  6. Step 6: Final answer
    x = 1,115,469.62

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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.