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Finding the Third Proportional to 192,531 and 463,830

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Solution

The third proportional to 192,531 and 463,830 is: 1,117,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,531 : 463,830 = 463,830 : x
  2. Step 2: Convert to fraction form
    192,531/463,830 = 463,830/x
  3. Step 3: Cross multiply
    192,531x = 463,830 × 463,830
  4. Step 4: Simplify right side
    192,531x = 215,138,268,900
  5. Step 5: Solve for x
    x = 215,138,268,900/192,531
  6. Step 6: Final answer
    x = 1,117,421.45

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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.