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Finding the Third Proportional to 523.02 and 1,157.10

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Solution

The third proportional to 523.02 and 1,157.10 is: 2,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 1,157.10 = 1,157.10 : x
  2. Step 2: Convert to fraction form
    523.02/1,157.10 = 1,157.10/x
  3. Step 3: Cross multiply
    523.02x = 1,157.10 × 1,157.10
  4. Step 4: Simplify right side
    523.02x = 1,338,874.99
  5. Step 5: Solve for x
    x = 1,338,874.99/523.02
  6. Step 6: Final answer
    x = 2,559.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.