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Finding the Third Proportional to 393,929 and 590,749

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Solution

The third proportional to 393,929 and 590,749 is: 885,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,929 : 590,749 = 590,749 : x
  2. Step 2: Convert to fraction form
    393,929/590,749 = 590,749/x
  3. Step 3: Cross multiply
    393,929x = 590,749 × 590,749
  4. Step 4: Simplify right side
    393,929x = 348,984,381,001
  5. Step 5: Solve for x
    x = 348,984,381,001/393,929
  6. Step 6: Final answer
    x = 885,906.80

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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.