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Finding the Third Proportional to 465.75 and 598.50

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Solution

The third proportional to 465.75 and 598.50 is: 769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 598.50 = 598.50 : x
  2. Step 2: Convert to fraction form
    465.75/598.50 = 598.50/x
  3. Step 3: Cross multiply
    465.75x = 598.50 × 598.50
  4. Step 4: Simplify right side
    465.75x = 358,202.25
  5. Step 5: Solve for x
    x = 358,202.25/465.75
  6. Step 6: Final answer
    x = 769.09

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.