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Finding the Third Proportional to 393,463.13 and 590,200.88

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Solution

The third proportional to 393,463.13 and 590,200.88 is: 885,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,463.13 : 590,200.88 = 590,200.88 : x
  2. Step 2: Convert to fraction form
    393,463.13/590,200.88 = 590,200.88/x
  3. Step 3: Cross multiply
    393,463.13x = 590,200.88 × 590,200.88
  4. Step 4: Simplify right side
    393,463.13x = 348,337,072,850.77
  5. Step 5: Solve for x
    x = 348,337,072,850.77/393,463.13
  6. Step 6: Final answer
    x = 885,310.59

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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.