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Finding the Third Proportional to 233,280 and 482,112

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Solution

The third proportional to 233,280 and 482,112 is: 996,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 482,112 = 482,112 : x
  2. Step 2: Convert to fraction form
    233,280/482,112 = 482,112/x
  3. Step 3: Cross multiply
    233,280x = 482,112 × 482,112
  4. Step 4: Simplify right side
    233,280x = 232,431,980,544
  5. Step 5: Solve for x
    x = 232,431,980,544/233,280
  6. Step 6: Final answer
    x = 996,364.80

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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.