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Finding the Third Proportional to 186,784 and 412,818

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Solution

The third proportional to 186,784 and 412,818 is: 912,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,784 : 412,818 = 412,818 : x
  2. Step 2: Convert to fraction form
    186,784/412,818 = 412,818/x
  3. Step 3: Cross multiply
    186,784x = 412,818 × 412,818
  4. Step 4: Simplify right side
    186,784x = 170,418,701,124
  5. Step 5: Solve for x
    x = 170,418,701,124/186,784
  6. Step 6: Final answer
    x = 912,383.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.