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Finding the Third Proportional to 209,715.75 and 449,094.38

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Solution

The third proportional to 209,715.75 and 449,094.38 is: 961,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.75 : 449,094.38 = 449,094.38 : x
  2. Step 2: Convert to fraction form
    209,715.75/449,094.38 = 449,094.38/x
  3. Step 3: Cross multiply
    209,715.75x = 449,094.38 × 449,094.38
  4. Step 4: Simplify right side
    209,715.75x = 201,685,757,656.64
  5. Step 5: Solve for x
    x = 201,685,757,656.64/209,715.75
  6. Step 6: Final answer
    x = 961,710.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.