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Finding the Third Proportional to 393,782 and 590,545

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Solution

The third proportional to 393,782 and 590,545 is: 885,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,782 : 590,545 = 590,545 : x
  2. Step 2: Convert to fraction form
    393,782/590,545 = 590,545/x
  3. Step 3: Cross multiply
    393,782x = 590,545 × 590,545
  4. Step 4: Simplify right side
    393,782x = 348,743,397,025
  5. Step 5: Solve for x
    x = 348,743,397,025/393,782
  6. Step 6: Final answer
    x = 885,625.54

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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.