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Finding the Third Proportional to 411,204.38 and 616,806.75

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Solution

The third proportional to 411,204.38 and 616,806.75 is: 925,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204.38 : 616,806.75 = 616,806.75 : x
  2. Step 2: Convert to fraction form
    411,204.38/616,806.75 = 616,806.75/x
  3. Step 3: Cross multiply
    411,204.38x = 616,806.75 × 616,806.75
  4. Step 4: Simplify right side
    411,204.38x = 380,450,566,845.56
  5. Step 5: Solve for x
    x = 380,450,566,845.56/411,204.38
  6. Step 6: Final answer
    x = 925,210.41

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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.