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Finding the Third Proportional to 187,503 and 410,622

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Solution

The third proportional to 187,503 and 410,622 is: 899,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,503 : 410,622 = 410,622 : x
  2. Step 2: Convert to fraction form
    187,503/410,622 = 410,622/x
  3. Step 3: Cross multiply
    187,503x = 410,622 × 410,622
  4. Step 4: Simplify right side
    187,503x = 168,610,426,884
  5. Step 5: Solve for x
    x = 168,610,426,884/187,503
  6. Step 6: Final answer
    x = 899,241.22

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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.