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Finding the Third Proportional to 187,622 and 410,938

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Solution

The third proportional to 187,622 and 410,938 is: 900,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,622 : 410,938 = 410,938 : x
  2. Step 2: Convert to fraction form
    187,622/410,938 = 410,938/x
  3. Step 3: Cross multiply
    187,622x = 410,938 × 410,938
  4. Step 4: Simplify right side
    187,622x = 168,870,039,844
  5. Step 5: Solve for x
    x = 168,870,039,844/187,622
  6. Step 6: Final answer
    x = 900,054.58

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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.