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Finding the Third Proportional to 523.50 and 597.75

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Solution

The third proportional to 523.50 and 597.75 is: 682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 597.75 = 597.75 : x
  2. Step 2: Convert to fraction form
    523.50/597.75 = 597.75/x
  3. Step 3: Cross multiply
    523.50x = 597.75 × 597.75
  4. Step 4: Simplify right side
    523.50x = 357,305.06
  5. Step 5: Solve for x
    x = 357,305.06/523.50
  6. Step 6: Final answer
    x = 682.53

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.