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Finding the Third Proportional to 263,968 and 586,832

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Solution

The third proportional to 263,968 and 586,832 is: 1,304,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,968 : 586,832 = 586,832 : x
  2. Step 2: Convert to fraction form
    263,968/586,832 = 586,832/x
  3. Step 3: Cross multiply
    263,968x = 586,832 × 586,832
  4. Step 4: Simplify right side
    263,968x = 344,371,796,224
  5. Step 5: Solve for x
    x = 344,371,796,224/263,968
  6. Step 6: Final answer
    x = 1,304,596.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.