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Finding the Third Proportional to 186,963 and 407,754

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Solution

The third proportional to 186,963 and 407,754 is: 889,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,963 : 407,754 = 407,754 : x
  2. Step 2: Convert to fraction form
    186,963/407,754 = 407,754/x
  3. Step 3: Cross multiply
    186,963x = 407,754 × 407,754
  4. Step 4: Simplify right side
    186,963x = 166,263,324,516
  5. Step 5: Solve for x
    x = 166,263,324,516/186,963
  6. Step 6: Final answer
    x = 889,284.64

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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.