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Finding the Third Proportional to 523.56 and 1,128.06

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Solution

The third proportional to 523.56 and 1,128.06 is: 2,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 1,128.06 = 1,128.06 : x
  2. Step 2: Convert to fraction form
    523.56/1,128.06 = 1,128.06/x
  3. Step 3: Cross multiply
    523.56x = 1,128.06 × 1,128.06
  4. Step 4: Simplify right side
    523.56x = 1,272,525.00
  5. Step 5: Solve for x
    x = 1,272,525.00/523.56
  6. Step 6: Final answer
    x = 2,430.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.