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Finding the Third Proportional to 186,987 and 407,818

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Solution

The third proportional to 186,987 and 407,818 is: 889,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987 : 407,818 = 407,818 : x
  2. Step 2: Convert to fraction form
    186,987/407,818 = 407,818/x
  3. Step 3: Cross multiply
    186,987x = 407,818 × 407,818
  4. Step 4: Simplify right side
    186,987x = 166,315,521,124
  5. Step 5: Solve for x
    x = 166,315,521,124/186,987
  6. Step 6: Final answer
    x = 889,449.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.