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Finding the Third Proportional to 762.25 and 1,036.75

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Solution

The third proportional to 762.25 and 1,036.75 is: 1,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.25 : 1,036.75 = 1,036.75 : x
  2. Step 2: Convert to fraction form
    762.25/1,036.75 = 1,036.75/x
  3. Step 3: Cross multiply
    762.25x = 1,036.75 × 1,036.75
  4. Step 4: Simplify right side
    762.25x = 1,074,850.56
  5. Step 5: Solve for x
    x = 1,074,850.56/762.25
  6. Step 6: Final answer
    x = 1,410.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.