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Finding the Third Proportional to 393,753 and 590,508

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Solution

The third proportional to 393,753 and 590,508 is: 885,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,753 : 590,508 = 590,508 : x
  2. Step 2: Convert to fraction form
    393,753/590,508 = 590,508/x
  3. Step 3: Cross multiply
    393,753x = 590,508 × 590,508
  4. Step 4: Simplify right side
    393,753x = 348,699,698,064
  5. Step 5: Solve for x
    x = 348,699,698,064/393,753
  6. Step 6: Final answer
    x = 885,579.79

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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.