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Finding the Third Proportional to 187,492 and 404,450

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Solution

The third proportional to 187,492 and 404,450 is: 872,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,492 : 404,450 = 404,450 : x
  2. Step 2: Convert to fraction form
    187,492/404,450 = 404,450/x
  3. Step 3: Cross multiply
    187,492x = 404,450 × 404,450
  4. Step 4: Simplify right side
    187,492x = 163,579,802,500
  5. Step 5: Solve for x
    x = 163,579,802,500/187,492
  6. Step 6: Final answer
    x = 872,462.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.