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Finding the Third Proportional to 210,552.75 and 449,101.13

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Solution

The third proportional to 210,552.75 and 449,101.13 is: 957,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,552.75 : 449,101.13 = 449,101.13 : x
  2. Step 2: Convert to fraction form
    210,552.75/449,101.13 = 449,101.13/x
  3. Step 3: Cross multiply
    210,552.75x = 449,101.13 × 449,101.13
  4. Step 4: Simplify right side
    210,552.75x = 201,691,820,476.27
  5. Step 5: Solve for x
    x = 201,691,820,476.27/210,552.75
  6. Step 6: Final answer
    x = 957,915.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.