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Finding the Third Proportional to 764.60 and 1,631.71

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Solution

The third proportional to 764.60 and 1,631.71 is: 3,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.60 : 1,631.71 = 1,631.71 : x
  2. Step 2: Convert to fraction form
    764.60/1,631.71 = 1,631.71/x
  3. Step 3: Cross multiply
    764.60x = 1,631.71 × 1,631.71
  4. Step 4: Simplify right side
    764.60x = 2,662,467.84
  5. Step 5: Solve for x
    x = 2,662,467.84/764.60
  6. Step 6: Final answer
    x = 3,482.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.