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Finding the Third Proportional to 187,504 and 410,620

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Solution

The third proportional to 187,504 and 410,620 is: 899,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,504 : 410,620 = 410,620 : x
  2. Step 2: Convert to fraction form
    187,504/410,620 = 410,620/x
  3. Step 3: Cross multiply
    187,504x = 410,620 × 410,620
  4. Step 4: Simplify right side
    187,504x = 168,608,784,400
  5. Step 5: Solve for x
    x = 168,608,784,400/187,504
  6. Step 6: Final answer
    x = 899,227.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.