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Finding the Third Proportional to 273,668.63 and 409,404.38

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Solution

The third proportional to 273,668.63 and 409,404.38 is: 612,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,668.63 : 409,404.38 = 409,404.38 : x
  2. Step 2: Convert to fraction form
    273,668.63/409,404.38 = 409,404.38/x
  3. Step 3: Cross multiply
    273,668.63x = 409,404.38 × 409,404.38
  4. Step 4: Simplify right side
    273,668.63x = 167,611,942,269.14
  5. Step 5: Solve for x
    x = 167,611,942,269.14/273,668.63
  6. Step 6: Final answer
    x = 612,463.13

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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.