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Finding the Third Proportional to 764.44 and 1,210.57

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Solution

The third proportional to 764.44 and 1,210.57 is: 1,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.44 : 1,210.57 = 1,210.57 : x
  2. Step 2: Convert to fraction form
    764.44/1,210.57 = 1,210.57/x
  3. Step 3: Cross multiply
    764.44x = 1,210.57 × 1,210.57
  4. Step 4: Simplify right side
    764.44x = 1,465,480.48
  5. Step 5: Solve for x
    x = 1,465,480.48/764.44
  6. Step 6: Final answer
    x = 1,917.07

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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.