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Finding the Third Proportional to 200,314.69 and 472,861.97

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Solution

The third proportional to 200,314.69 and 472,861.97 is: 1,116,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,314.69 : 472,861.97 = 472,861.97 : x
  2. Step 2: Convert to fraction form
    200,314.69/472,861.97 = 472,861.97/x
  3. Step 3: Cross multiply
    200,314.69x = 472,861.97 × 472,861.97
  4. Step 4: Simplify right side
    200,314.69x = 223,598,441,490.13
  5. Step 5: Solve for x
    x = 223,598,441,490.13/200,314.69
  6. Step 6: Final answer
    x = 1,116,235.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.