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Finding the Third Proportional to 411,196.50 and 616,794.75

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Solution

The third proportional to 411,196.50 and 616,794.75 is: 925,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,196.50 : 616,794.75 = 616,794.75 : x
  2. Step 2: Convert to fraction form
    411,196.50/616,794.75 = 616,794.75/x
  3. Step 3: Cross multiply
    411,196.50x = 616,794.75 × 616,794.75
  4. Step 4: Simplify right side
    411,196.50x = 380,435,763,627.56
  5. Step 5: Solve for x
    x = 380,435,763,627.56/411,196.50
  6. Step 6: Final answer
    x = 925,192.13

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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.