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Finding the Third Proportional to 785.81 and 1,213.31

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Solution

The third proportional to 785.81 and 1,213.31 is: 1,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 1,213.31 = 1,213.31 : x
  2. Step 2: Convert to fraction form
    785.81/1,213.31 = 1,213.31/x
  3. Step 3: Cross multiply
    785.81x = 1,213.31 × 1,213.31
  4. Step 4: Simplify right side
    785.81x = 1,472,127.22
  5. Step 5: Solve for x
    x = 1,472,127.22/785.81
  6. Step 6: Final answer
    x = 1,873.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.