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Finding the Third Proportional to 239,364 and 509,832

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Solution

The third proportional to 239,364 and 509,832 is: 1,085,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,364 : 509,832 = 509,832 : x
  2. Step 2: Convert to fraction form
    239,364/509,832 = 509,832/x
  3. Step 3: Cross multiply
    239,364x = 509,832 × 509,832
  4. Step 4: Simplify right side
    239,364x = 259,928,668,224
  5. Step 5: Solve for x
    x = 259,928,668,224/239,364
  6. Step 6: Final answer
    x = 1,085,913.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.