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Finding the Third Proportional to 187,452 and 404,838

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Solution

The third proportional to 187,452 and 404,838 is: 874,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,452 : 404,838 = 404,838 : x
  2. Step 2: Convert to fraction form
    187,452/404,838 = 404,838/x
  3. Step 3: Cross multiply
    187,452x = 404,838 × 404,838
  4. Step 4: Simplify right side
    187,452x = 163,893,806,244
  5. Step 5: Solve for x
    x = 163,893,806,244/187,452
  6. Step 6: Final answer
    x = 874,324.13

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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.