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Finding the Third Proportional to 411,190.88 and 616,786.88

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Solution

The third proportional to 411,190.88 and 616,786.88 is: 925,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,190.88 : 616,786.88 = 616,786.88 : x
  2. Step 2: Convert to fraction form
    411,190.88/616,786.88 = 616,786.88/x
  3. Step 3: Cross multiply
    411,190.88x = 616,786.88 × 616,786.88
  4. Step 4: Simplify right side
    411,190.88x = 380,426,049,172.27
  5. Step 5: Solve for x
    x = 380,426,049,172.27/411,190.88
  6. Step 6: Final answer
    x = 925,181.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.