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Finding the Third Proportional to 361,742 and 785,734

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Solution

The third proportional to 361,742 and 785,734 is: 1,706,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,742 : 785,734 = 785,734 : x
  2. Step 2: Convert to fraction form
    361,742/785,734 = 785,734/x
  3. Step 3: Cross multiply
    361,742x = 785,734 × 785,734
  4. Step 4: Simplify right side
    361,742x = 617,377,918,756
  5. Step 5: Solve for x
    x = 617,377,918,756/361,742
  6. Step 6: Final answer
    x = 1,706,680.23

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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.