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Finding the Third Proportional to 192,590 and 463,934

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Solution

The third proportional to 192,590 and 463,934 is: 1,117,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,590 : 463,934 = 463,934 : x
  2. Step 2: Convert to fraction form
    192,590/463,934 = 463,934/x
  3. Step 3: Cross multiply
    192,590x = 463,934 × 463,934
  4. Step 4: Simplify right side
    192,590x = 215,234,756,356
  5. Step 5: Solve for x
    x = 215,234,756,356/192,590
  6. Step 6: Final answer
    x = 1,117,580.13

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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.