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Finding the Third Proportional to 524.63 and 1,137.75

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Solution

The third proportional to 524.63 and 1,137.75 is: 2,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 1,137.75 = 1,137.75 : x
  2. Step 2: Convert to fraction form
    524.63/1,137.75 = 1,137.75/x
  3. Step 3: Cross multiply
    524.63x = 1,137.75 × 1,137.75
  4. Step 4: Simplify right side
    524.63x = 1,294,475.06
  5. Step 5: Solve for x
    x = 1,294,475.06/524.63
  6. Step 6: Final answer
    x = 2,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.