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Finding the Third Proportional to 499,569 and 741,631

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Solution

The third proportional to 499,569 and 741,631 is: 1,100,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,569 : 741,631 = 741,631 : x
  2. Step 2: Convert to fraction form
    499,569/741,631 = 741,631/x
  3. Step 3: Cross multiply
    499,569x = 741,631 × 741,631
  4. Step 4: Simplify right side
    499,569x = 550,016,540,161
  5. Step 5: Solve for x
    x = 550,016,540,161/499,569
  6. Step 6: Final answer
    x = 1,100,982.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.