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Finding the Third Proportional to 411,180.75 and 616,772.25

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Solution

The third proportional to 411,180.75 and 616,772.25 is: 925,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,180.75 : 616,772.25 = 616,772.25 : x
  2. Step 2: Convert to fraction form
    411,180.75/616,772.25 = 616,772.25/x
  3. Step 3: Cross multiply
    411,180.75x = 616,772.25 × 616,772.25
  4. Step 4: Simplify right side
    411,180.75x = 380,408,008,370.06
  5. Step 5: Solve for x
    x = 380,408,008,370.06/411,180.75
  6. Step 6: Final answer
    x = 925,160.06

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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.