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Finding the Third Proportional to 186,846 and 410,028

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Solution

The third proportional to 186,846 and 410,028 is: 899,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846 : 410,028 = 410,028 : x
  2. Step 2: Convert to fraction form
    186,846/410,028 = 410,028/x
  3. Step 3: Cross multiply
    186,846x = 410,028 × 410,028
  4. Step 4: Simplify right side
    186,846x = 168,122,960,784
  5. Step 5: Solve for x
    x = 168,122,960,784/186,846
  6. Step 6: Final answer
    x = 899,794.27

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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.