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Finding the Third Proportional to 187,496 and 404,458

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Solution

The third proportional to 187,496 and 404,458 is: 872,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,496 : 404,458 = 404,458 : x
  2. Step 2: Convert to fraction form
    187,496/404,458 = 404,458/x
  3. Step 3: Cross multiply
    187,496x = 404,458 × 404,458
  4. Step 4: Simplify right side
    187,496x = 163,586,273,764
  5. Step 5: Solve for x
    x = 163,586,273,764/187,496
  6. Step 6: Final answer
    x = 872,478.74

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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.