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Finding the Third Proportional to 187,292 and 409,617

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Solution

The third proportional to 187,292 and 409,617 is: 895,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,292 : 409,617 = 409,617 : x
  2. Step 2: Convert to fraction form
    187,292/409,617 = 409,617/x
  3. Step 3: Cross multiply
    187,292x = 409,617 × 409,617
  4. Step 4: Simplify right side
    187,292x = 167,786,086,689
  5. Step 5: Solve for x
    x = 167,786,086,689/187,292
  6. Step 6: Final answer
    x = 895,852.93

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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.