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Finding the Third Proportional to 186,947 and 408,886

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Solution

The third proportional to 186,947 and 408,886 is: 894,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,947 : 408,886 = 408,886 : x
  2. Step 2: Convert to fraction form
    186,947/408,886 = 408,886/x
  3. Step 3: Cross multiply
    186,947x = 408,886 × 408,886
  4. Step 4: Simplify right side
    186,947x = 167,187,760,996
  5. Step 5: Solve for x
    x = 167,187,760,996/186,947
  6. Step 6: Final answer
    x = 894,305.66

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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.