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Finding the Third Proportional to 788.06 and 1,265.63

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Solution

The third proportional to 788.06 and 1,265.63 is: 2,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,265.63 = 1,265.63 : x
  2. Step 2: Convert to fraction form
    788.06/1,265.63 = 1,265.63/x
  3. Step 3: Cross multiply
    788.06x = 1,265.63 × 1,265.63
  4. Step 4: Simplify right side
    788.06x = 1,601,806.64
  5. Step 5: Solve for x
    x = 1,601,806.64/788.06
  6. Step 6: Final answer
    x = 2,032.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.