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Finding the Third Proportional to 393,656 and 590,384

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Solution

The third proportional to 393,656 and 590,384 is: 885,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,656 : 590,384 = 590,384 : x
  2. Step 2: Convert to fraction form
    393,656/590,384 = 590,384/x
  3. Step 3: Cross multiply
    393,656x = 590,384 × 590,384
  4. Step 4: Simplify right side
    393,656x = 348,553,267,456
  5. Step 5: Solve for x
    x = 348,553,267,456/393,656
  6. Step 6: Final answer
    x = 885,426.03

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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.