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Finding the Third Proportional to 393,769 and 590,525

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Solution

The third proportional to 393,769 and 590,525 is: 885,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,769 : 590,525 = 590,525 : x
  2. Step 2: Convert to fraction form
    393,769/590,525 = 590,525/x
  3. Step 3: Cross multiply
    393,769x = 590,525 × 590,525
  4. Step 4: Simplify right side
    393,769x = 348,719,775,625
  5. Step 5: Solve for x
    x = 348,719,775,625/393,769
  6. Step 6: Final answer
    x = 885,594.79

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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.