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Finding the Third Proportional to 192,533 and 463,835

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Solution

The third proportional to 192,533 and 463,835 is: 1,117,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,533 : 463,835 = 463,835 : x
  2. Step 2: Convert to fraction form
    192,533/463,835 = 463,835/x
  3. Step 3: Cross multiply
    192,533x = 463,835 × 463,835
  4. Step 4: Simplify right side
    192,533x = 215,142,907,225
  5. Step 5: Solve for x
    x = 215,142,907,225/192,533
  6. Step 6: Final answer
    x = 1,117,433.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.