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Finding the Third Proportional to 767.81 and 1,309.50

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Solution

The third proportional to 767.81 and 1,309.50 is: 2,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,309.50 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    767.81/1,309.50 = 1,309.50/x
  3. Step 3: Cross multiply
    767.81x = 1,309.50 × 1,309.50
  4. Step 4: Simplify right side
    767.81x = 1,714,790.25
  5. Step 5: Solve for x
    x = 1,714,790.25/767.81
  6. Step 6: Final answer
    x = 2,233.35

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.