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Finding the Third Proportional to 762.56 and 1,574.06

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Solution

The third proportional to 762.56 and 1,574.06 is: 3,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,574.06 = 1,574.06 : x
  2. Step 2: Convert to fraction form
    762.56/1,574.06 = 1,574.06/x
  3. Step 3: Cross multiply
    762.56x = 1,574.06 × 1,574.06
  4. Step 4: Simplify right side
    762.56x = 2,477,672.75
  5. Step 5: Solve for x
    x = 2,477,672.75/762.56
  6. Step 6: Final answer
    x = 3,249.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.