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Finding the Third Proportional to 408,847.50 and 557,138.25

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Solution

The third proportional to 408,847.50 and 557,138.25 is: 759,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847.50 : 557,138.25 = 557,138.25 : x
  2. Step 2: Convert to fraction form
    408,847.50/557,138.25 = 557,138.25/x
  3. Step 3: Cross multiply
    408,847.50x = 557,138.25 × 557,138.25
  4. Step 4: Simplify right side
    408,847.50x = 310,403,029,613.06
  5. Step 5: Solve for x
    x = 310,403,029,613.06/408,847.50
  6. Step 6: Final answer
    x = 759,214.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.