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Finding the Third Proportional to 785.00 and 1,706.22

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Solution

The third proportional to 785.00 and 1,706.22 is: 3,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.00 : 1,706.22 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    785.00/1,706.22 = 1,706.22/x
  3. Step 3: Cross multiply
    785.00x = 1,706.22 × 1,706.22
  4. Step 4: Simplify right side
    785.00x = 2,911,189.09
  5. Step 5: Solve for x
    x = 2,911,189.09/785.00
  6. Step 6: Final answer
    x = 3,708.50

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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.