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Finding the Third Proportional to 411,194.25 and 616,790.25

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Solution

The third proportional to 411,194.25 and 616,790.25 is: 925,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,194.25 : 616,790.25 = 616,790.25 : x
  2. Step 2: Convert to fraction form
    411,194.25/616,790.25 = 616,790.25/x
  3. Step 3: Cross multiply
    411,194.25x = 616,790.25 × 616,790.25
  4. Step 4: Simplify right side
    411,194.25x = 380,430,212,495.06
  5. Step 5: Solve for x
    x = 380,430,212,495.06/411,194.25
  6. Step 6: Final answer
    x = 925,183.69

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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.