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Finding the Third Proportional to 393,649.75 and 590,372.25

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Solution

The third proportional to 393,649.75 and 590,372.25 is: 885,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,649.75 : 590,372.25 = 590,372.25 : x
  2. Step 2: Convert to fraction form
    393,649.75/590,372.25 = 590,372.25/x
  3. Step 3: Cross multiply
    393,649.75x = 590,372.25 × 590,372.25
  4. Step 4: Simplify right side
    393,649.75x = 348,539,393,570.06
  5. Step 5: Solve for x
    x = 348,539,393,570.06/393,649.75
  6. Step 6: Final answer
    x = 885,404.84

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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.