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Finding the Third Proportional to 361,704 and 785,676

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Solution

The third proportional to 361,704 and 785,676 is: 1,706,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,704 : 785,676 = 785,676 : x
  2. Step 2: Convert to fraction form
    361,704/785,676 = 785,676/x
  3. Step 3: Cross multiply
    361,704x = 785,676 × 785,676
  4. Step 4: Simplify right side
    361,704x = 617,286,776,976
  5. Step 5: Solve for x
    x = 617,286,776,976/361,704
  6. Step 6: Final answer
    x = 1,706,607.55

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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.