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Finding the Third Proportional to 233,112 and 482,816

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Solution

The third proportional to 233,112 and 482,816 is: 999,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,112 : 482,816 = 482,816 : x
  2. Step 2: Convert to fraction form
    233,112/482,816 = 482,816/x
  3. Step 3: Cross multiply
    233,112x = 482,816 × 482,816
  4. Step 4: Simplify right side
    233,112x = 233,111,289,856
  5. Step 5: Solve for x
    x = 233,111,289,856/233,112
  6. Step 6: Final answer
    x = 999,996.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.