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Finding the Third Proportional to 788.80 and 1,237.46

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Solution

The third proportional to 788.80 and 1,237.46 is: 1,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,237.46 = 1,237.46 : x
  2. Step 2: Convert to fraction form
    788.80/1,237.46 = 1,237.46/x
  3. Step 3: Cross multiply
    788.80x = 1,237.46 × 1,237.46
  4. Step 4: Simplify right side
    788.80x = 1,531,319.24
  5. Step 5: Solve for x
    x = 1,531,319.24/788.80
  6. Step 6: Final answer
    x = 1,941.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.