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Finding the Third Proportional to 192,588 and 463,929

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Solution

The third proportional to 192,588 and 463,929 is: 1,117,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,588 : 463,929 = 463,929 : x
  2. Step 2: Convert to fraction form
    192,588/463,929 = 463,929/x
  3. Step 3: Cross multiply
    192,588x = 463,929 × 463,929
  4. Step 4: Simplify right side
    192,588x = 215,230,117,041
  5. Step 5: Solve for x
    x = 215,230,117,041/192,588
  6. Step 6: Final answer
    x = 1,117,567.64

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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.