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Finding the Third Proportional to 289 and 470.50

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Solution

The third proportional to 289 and 470.50 is: 765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 470.50 = 470.50 : x
  2. Step 2: Convert to fraction form
    289/470.50 = 470.50/x
  3. Step 3: Cross multiply
    289x = 470.50 × 470.50
  4. Step 4: Simplify right side
    289x = 221,370.25
  5. Step 5: Solve for x
    x = 221,370.25/289
  6. Step 6: Final answer
    x = 765.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.