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Finding the Third Proportional to 412.50 and 598.50

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Solution

The third proportional to 412.50 and 598.50 is: 868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.50 : 598.50 = 598.50 : x
  2. Step 2: Convert to fraction form
    412.50/598.50 = 598.50/x
  3. Step 3: Cross multiply
    412.50x = 598.50 × 598.50
  4. Step 4: Simplify right side
    412.50x = 358,202.25
  5. Step 5: Solve for x
    x = 358,202.25/412.50
  6. Step 6: Final answer
    x = 868.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.