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Finding the Third Proportional to 408,037.50 and 573,588

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Solution

The third proportional to 408,037.50 and 573,588 is: 806,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,037.50 : 573,588 = 573,588 : x
  2. Step 2: Convert to fraction form
    408,037.50/573,588 = 573,588/x
  3. Step 3: Cross multiply
    408,037.50x = 573,588 × 573,588
  4. Step 4: Simplify right side
    408,037.50x = 329,003,193,744
  5. Step 5: Solve for x
    x = 329,003,193,744/408,037.50
  6. Step 6: Final answer
    x = 806,306.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.