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Finding the Third Proportional to 537 and 559.50

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Solution

The third proportional to 537 and 559.50 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 559.50 = 559.50 : x
  2. Step 2: Convert to fraction form
    537/559.50 = 559.50/x
  3. Step 3: Cross multiply
    537x = 559.50 × 559.50
  4. Step 4: Simplify right side
    537x = 313,040.25
  5. Step 5: Solve for x
    x = 313,040.25/537
  6. Step 6: Final answer
    x = 582.94

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.