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Finding the Third Proportional to 192,480 and 406,024

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Solution

The third proportional to 192,480 and 406,024 is: 856,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,480 : 406,024 = 406,024 : x
  2. Step 2: Convert to fraction form
    192,480/406,024 = 406,024/x
  3. Step 3: Cross multiply
    192,480x = 406,024 × 406,024
  4. Step 4: Simplify right side
    192,480x = 164,855,488,576
  5. Step 5: Solve for x
    x = 164,855,488,576/192,480
  6. Step 6: Final answer
    x = 856,481.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.