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Finding the Third Proportional to 785.25 and 1,238.63

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Solution

The third proportional to 785.25 and 1,238.63 is: 1,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.25 : 1,238.63 = 1,238.63 : x
  2. Step 2: Convert to fraction form
    785.25/1,238.63 = 1,238.63/x
  3. Step 3: Cross multiply
    785.25x = 1,238.63 × 1,238.63
  4. Step 4: Simplify right side
    785.25x = 1,534,191.89
  5. Step 5: Solve for x
    x = 1,534,191.89/785.25
  6. Step 6: Final answer
    x = 1,953.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.