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Finding the Third Proportional to 187,403 and 409,759

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Solution

The third proportional to 187,403 and 409,759 is: 895,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,403 : 409,759 = 409,759 : x
  2. Step 2: Convert to fraction form
    187,403/409,759 = 409,759/x
  3. Step 3: Cross multiply
    187,403x = 409,759 × 409,759
  4. Step 4: Simplify right side
    187,403x = 167,902,438,081
  5. Step 5: Solve for x
    x = 167,902,438,081/187,403
  6. Step 6: Final answer
    x = 895,943.17

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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.