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Finding the Third Proportional to 187,458 and 404,892

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Solution

The third proportional to 187,458 and 404,892 is: 874,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,458 : 404,892 = 404,892 : x
  2. Step 2: Convert to fraction form
    187,458/404,892 = 404,892/x
  3. Step 3: Cross multiply
    187,458x = 404,892 × 404,892
  4. Step 4: Simplify right side
    187,458x = 163,937,531,664
  5. Step 5: Solve for x
    x = 163,937,531,664/187,458
  6. Step 6: Final answer
    x = 874,529.40

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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.