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Finding the Third Proportional to 187,568 and 409,577

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Solution

The third proportional to 187,568 and 409,577 is: 894,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,568 : 409,577 = 409,577 : x
  2. Step 2: Convert to fraction form
    187,568/409,577 = 409,577/x
  3. Step 3: Cross multiply
    187,568x = 409,577 × 409,577
  4. Step 4: Simplify right side
    187,568x = 167,753,318,929
  5. Step 5: Solve for x
    x = 167,753,318,929/187,568
  6. Step 6: Final answer
    x = 894,360.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.