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Finding the Third Proportional to 360,162 and 781,371

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Solution

The third proportional to 360,162 and 781,371 is: 1,695,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,162 : 781,371 = 781,371 : x
  2. Step 2: Convert to fraction form
    360,162/781,371 = 781,371/x
  3. Step 3: Cross multiply
    360,162x = 781,371 × 781,371
  4. Step 4: Simplify right side
    360,162x = 610,540,639,641
  5. Step 5: Solve for x
    x = 610,540,639,641/360,162
  6. Step 6: Final answer
    x = 1,695,183.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.